Form N-Q

UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, DC 20549

FORM N-Q


QUARTERLY SCHEDULE OF PORTFOLIO HOLDINGS OF REGISTERED MANAGEMENT INVESTMENT COMPANY

Investment Company Act file number         811-7056         

        Nuveen Select Maturities Municipal Fund         
(Exact name of registrant as specified in charter)

Nuveen Investments
        333 West Wacker Drive, Chicago, Illinois 60606         

(Address of principal executive offices) (Zip code)


Kevin J. McCarthy Vice President and Secretary
        333 West Wacker Drive, Chicago, Illinois 60606         

(Name and address of agent for service)

Registrant's telephone number, including area code:         312-917-7700        

Date of fiscal year end:            3/31          

Date of reporting period:         6/30/08         

Form N-Q is to be used by management investment companies, other than small business investment companies registered on Form N-5 (§§ 239.24 and 274.5 of this chapter), to file reports with the Commission, not later than 60 days after the close of the first and third fiscal quarters, pursuant to rule 30b1-5 under the Investment Company Act of 1940 (17 CFR 270.30b1-5). The Commission may use the information provided on Form N-Q in its regulatory, disclosure review, inspection, and policymaking roles.

A registrant is required to disclose the information specified by Form N-Q, and the Commission will make this information public. A registrant is not required to respond to the collection of information contained in Form N-Q unless the Form displays a currently valid Office of Management and Budget ("OMB") control number. Please direct comments concerning the accuracy of the information collection burden estimate and any suggestions for reducing the burden to the Secretary, Securities and Exchange Commission, 450 Fifth Street, NW, Washington, DC 20549-0609. The OMB has reviewed this collection of information under the clearance requirements of 44 U.S.C. § 3507.

Item 1. Schedule of Investments

    Portfolio of Investments (Unaudited)             
    Nuveen Select Maturies Municipal Fund (NIM)             
    June 30, 2008             
Principal        Optional Call         
Amount (000)    Description (1)    Provisions (2)    Ratings (3)    Value 

    Alabama – 2.5%             
$          2,000    Alabama 21st Century Authority, Tobacco Settlement Revenue Bonds, Series 2001, 5.750%, 12/01/17    12/11 at 101.00    A–   $   2,024,920 
500    Jefferson County, Alabama, Sewer Revenue Refunding Warrants, Series 2003B, 5.250%, 2/01/12 –    2/10 at 100.00    AAA    500,200 
     FSA Insured             
500    Marshall County Healthcare Authority, Alabama, Revenue Bonds, Series 2002A, 6.250%, 1/01/22    1/12 at 101.00    A–    521,445 

3,000    Total Alabama            3,046,565 

    Arizona – 0.9%             
165    Phoenix Industrial Development Authority, Arizona, Statewide Single Family Mortgage Revenue    10/08 at 101.00    AAA    169,203 
     Bonds, Series 1998C, 6.650%, 10/01/29 (Alternative Minimum Tax)             
300    Salt Verde Financial Corporation, Arizona, Senior Gas Revenue Bonds, Series 2007,    No Opt. Call    AA–    262,494 
     5.000%, 12/01/37             
750    Surprise Municipal Property Corporation, Arizona, Wastewater System Revenue Bonds, Series    4/11 at 100.00    N/R    716,453 
     2007, 4.500%, 4/01/17             

1,215    Total Arizona            1,148,150 

    Arkansas – 4.1%             
1,000    Fort Smith, Arkansas, Water and Sewer Revenue Refunding and Construction Bonds, Series 2002A,    10/11 at 100.00    AAA    1,052,050 
     5.250%, 10/01/17 – FSA Insured             
1,500    Jefferson County, Arkansas, Pollution Control Revenue Bonds, Entergy Arkansas Inc. Project,    6/11 at 100.00    A–    1,433,070 
     Series 2006, 4.600%, 10/01/17             
1,000    Jonesboro, Arkansas, Industrial Development Revenue Bonds, Anheuser Busch Inc. Project, Series    No Opt. Call    A    1,043,110 
     2002, 4.600%, 11/15/12             
1,380    North Little Rock, Arkansas, Electric Revenue Refunding Bonds, Series 1992A, 6.500%, 7/01/15 –    No Opt. Call    AA    1,536,685 
     MBIA Insured             

4,880    Total Arkansas            5,064,915 

    California – 0.3%             
400    California Health Facilities Financing Authority, Revenue Bonds, Catholic Healthcare West,    7/15 at 100.00    A    398,616 
     Series 2008H, 5.125%, 7/01/22             

    Colorado – 14.1%             
2,895    Centennial Downs Metropolitan District, Colorado, General Obligation Bonds, Series 1999,    12/14 at 100.00    AA    3,006,718 
     5.000%, 12/01/20 – AMBAC Insured             
1,260    Colorado Educational and Cultural Facilities Authority, Charter School Revenue Bonds, Douglas    7/12 at 100.00    BBB    1,267,799 
     County School District RE-1 – DCS Montessori School, Series 2002A, 6.000%, 7/15/22             
1,175    Colorado Educational and Cultural Facilities Authority, Revenue Bonds, Classical Academy    12/13 at 100.00    A    1,160,912 
     Charter School, Series 2003, 4.500%, 12/01/18 – XLCA Insured             
290    Colorado Housing Finance Authority, Single Family Program Senior Bonds, Series 2000D-2,    4/10 at 105.00    AA    302,980 
     6.900%, 4/01/29 (Alternative Minimum Tax)             
1,025    Denver Health and Hospitals Authority, Colorado, Healthcare Revenue Bonds, Series 2001A,    12/11 at 100.00    BBB (4)    1,117,260 
     6.000%, 12/01/23 (Pre-refunded 12/01/11)             
1,465    Denver West Metropolitan District, Colorado, General Obligation Refunding and Improvement    12/13 at 100.00    A    1,393,435 
     Bonds, Series 2003, 4.500%, 12/01/18 – RAAI Insured             
1,000    E-470 Public Highway Authority, Colorado, Senior Revenue Bonds, Series 2007C-2, 5.000%,    No Opt. Call    A2    1,006,950 
     9/01/39 (Mandatory put 9/01/13) – MBIA Insured             
1,340    Eagle Bend Metropolitan District 2, Colorado, General Obligation Bonds, Series 2004, 5.000%,    12/14 at 101.00    A    1,313,240 
     12/01/20 – RAAI Insured             
39    El Paso County, Colorado, FNMA Mortgage-Backed Single Family Revenue Refunding Bonds, Series    No Opt. Call    Aaa    40,987 
     1992A-2, 8.750%, 6/01/11             
700    Erie, Boulder and Weld Counties, Colorado, Water Enterprise Revenue Bonds, Series 1998,    12/08 at 100.00    N/R (4)    709,380 
     5.000%, 12/01/23 (Pre-refunded 12/01/08) – ACA Insured             
1,050    Erie, Boulder and Weld Counties, Colorado, Water Enterprise Revenue Bonds, Series 1998,    12/08 at 100.00    N/R    938,952 
     5.000%, 12/01/23 – ACA Insured             
70    Northwest Parkway Public Highway Authority, Colorado, Revenue Bonds, Senior Series 2001A,    6/11 at 102.00    AAA    74,759 
     5.250%, 6/15/41 (Pre-refunded 6/15/11) – FSA Insured             
5,875    Northwest Parkway Public Highway Authority, Colorado, Senior Lien Revenue Bonds, Series 2001B,    6/11 at 38.04    AA (4)    1,995,679 
     0.000%, 6/15/27 (Pre-refunded 6/15/11) – AMBAC Insured             
2,845    University of Colorado Hospital Authority, Revenue Bonds, Series 2001A, 5.600%, 11/15/21    11/11 at 100.00    Baa1 (4)    3,053,197 
     (Pre-refunded 11/15/11)             

21,029    Total Colorado            17,382,248 

    Connecticut – 1.6%             
    Eastern Connecticut Resource Recovery Authority, Solid Waste Revenue Bonds, Wheelabrator             
    Lisbon Project, Series 1993A:             
450     5.500%, 1/01/14 (Alternative Minimum Tax)    7/08 at 100.00    BBB    449,991 
1,570     5.500%, 1/01/15 (Alternative Minimum Tax)    9/08 at 100.00    BBB    1,568,728 

2,020    Total Connecticut            2,018,719 

    Florida – 4.9%             
2,400    Deltona, Florida, Utility Systems Water and Sewer Revenue Bonds, Series 2003, 5.250%,    10/13 at 100.00    AA    2,530,008 
     10/01/17 – MBIA Insured             
1,000    Florida Citizens Property Insurance Corporation, High Risk Account Revenue Bonds, Series    No Opt. Call    AA    1,034,410 
     2007A, 5.000%, 3/01/15 – MBIA Insured             
60    JEA, Florida, Electric Revenue Certificates, Series 1973-2, 6.800%, 7/01/12 (ETM)    No Opt. Call    AAA    64,767 
2,000    Orange County, Florida, Tourist Development Tax Revenue Bonds, Series 2005, 5.000%, 10/01/22 –    10/15 at 100.00    AA    2,026,560 
     AMBAC Insured             
320    Port Everglades Authority, Florida, Port Facilities Revenue Bonds, Series 1986, 7.125%,    No Opt. Call    AAA    367,958 
     11/01/16 (ETM)             

5,780    Total Florida            6,023,703 

    Georgia – 0.4%             
445    Cherokee County Water and Sewerage Authority, Georgia, Revenue Bonds, Series 1995, 5.200%,    8/22 at 100.00    AAA    476,884 
     8/01/25 (Pre-refunded 8/01/22) – MBIA Insured             

    Illinois – 14.1%             
715    Chicago, Illinois, Tax Increment Allocation Bonds, Irving/Cicero Redevelopment Project, Series    1/09 at 100.00    N/R    719,662 
     1998, 7.000%, 1/01/14             
1,500    Cook County Township High School District 208, Illinois, General Obligation Bonds, Series    12/15 at 100.00    A1    1,554,570 
     2006, 5.000%, 12/01/21 – MBIA Insured             
2,000    Huntley, Illinois, Special Service Area 9, Special Tax Bonds, Series 2007, 5.100%, 3/01/28 –    3/17 at 100.00    AAA    2,027,840 
     AGC Insured             
4,860    Illinois Development Finance Authority, GNMA Collateralized Mortgage Revenue Bonds, Greek    4/11 at 105.00    Aaa    5,409,519 
     American Nursing Home Committee, Series 2000A, 7.600%, 4/20/40             
2,000    Illinois Development Finance Authority, Revenue Refunding Bonds, Olin Corporation, Series    4/10 at 102.00    Baa3    2,057,360 
     1993D, 6.750%, 3/01/16             
2,000    Illinois Educational Facilities Authority, Revenue Bonds, Art Institute of Chicago, Series    3/14 at 102.00    A1    2,008,940 
     2000, 4.450%, 3/01/34 (Mandatory put 3/01/15)             
1,000    Illinois Educational Facilities Authority, Student Housing Revenue Bonds, Educational    5/12 at 101.00    Aaa    1,124,880 
     Advancement Foundation Fund, University Center Project, Series 2002, 6.625%, 5/01/17             
     (Pre-refunded 5/01/12)             
250    Illinois Finance Authority, Revenue Bonds, Roosevelt University, Series 2007, 5.250%, 4/01/22    4/17 at 100.00    Baa1    244,593 
25    Illinois Health Facilities Authority, Revenue Bonds, Condell Medical Center, Series 2000,    5/10 at 101.00    Baa3    25,864 
     6.350%, 5/15/15             
    Illinois Health Facilities Authority, Revenue Bonds, Condell Medical Center, Series 2002:             
100     5.250%, 5/15/11    No Opt. Call    Baa3    102,579 
20     5.250%, 5/15/12    No Opt. Call    Baa3    20,486 
85    Illinois Health Facilities Authority, Revenue Bonds, Lutheran General Health System, Series    No Opt. Call    AAA    90,395 
     1993A, 6.125%, 4/01/12 – FSA Insured (ETM)             
695    Illinois Health Facilities Authority, Revenue Bonds, Silver Cross Hospital and Medical    8/09 at 101.00    A    704,695 
     Centers, Series 1999, 5.500%, 8/15/19             
515    Illinois Health Facilities Authority, Revenue Bonds, Silver Cross Hospital and Medical    8/09 at 101.00    A (4)    539,030 
     Centers, Series 1999, 5.500%, 8/15/19 (Pre-refunded 8/15/09)             
1,355    Kane & DeKalb Counties, Illinois, Community United School District 301, General Obligation    No Opt. Call    A2    826,686 
     Bonds, Series 2006, 0.000%, 12/01/18 – MBIA Insured             

17,120    Total Illinois            17,457,099 

    Iowa – 2.4%             
1,000    Iowa Finance Authority, Healthcare Revenue Bonds, Genesis Medical Center, Series 2000,    7/10 at 100.00    A1    1,022,200 
     6.250%, 7/01/25             
1,800    Iowa Tobacco Settlement Authority, Tobacco Settlement Asset-Backed Revenue Bonds, Series    6/11 at 101.00    AAA    1,911,744 
     2001B, 5.300%, 6/01/25 (Pre-refunded 6/01/11)             

2,800    Total Iowa            2,933,944 

    Kansas – 2.9%             
3,500    Wichita, Kansas, Hospital Facilities Revenue Refunding and Improvement Bonds, Via Christi    11/11 at 101.00    A+    3,582,949 
     Health System Inc., Series 2001-III, 5.500%, 11/15/21             

    Kentucky – 1.2%             
1,530    Kentucky Housing Corporation, Housing Revenue Bonds, Series 2005G, 5.000%, 7/01/30    1/15 at 100.60    AAA    1,526,144 
     (Alternative Minimum Tax)             

    Louisiana – 0.4%             
500    Louisiana Public Facilities Authority, Revenue Bonds, Baton Rouge General Hospital, Series    7/14 at 100.00    AA    508,225 
     2004, 5.250%, 7/01/24 – MBIA Insured             

    Maryland – 0.9%             
1,100    Maryland Energy Financing Administration, Revenue Bonds, AES Warrior Run Project, Series 1995,    9/08 at 100.00    N/R    1,078,693 
     7.400%, 9/01/19 (Alternative Minimum Tax)             

    Massachusetts – 1.9%             
500    Massachusetts Development Finance Agency, Revenue Bonds, Orchard Cove, Series 2007,    10/17 at 100.00    BB–    452,800 
     5.000%, 10/01/19             
1,455    Massachusetts Housing Finance Agency, Rental Housing Mortgage Revenue Bonds, Series 2000H,    7/10 at 100.00    AA    1,493,019 
     6.650%, 7/01/41 – MBIA Insured (Alternative Minimum Tax)             
    Massachusetts Port Authority, Special Facilities Revenue Bonds, Delta Air Lines Inc.,             
    Series 2001A:             
100     5.200%, 1/01/20 – AMBAC Insured (Alternative Minimum Tax)    1/11 at 101.00    AA    88,175 
435     5.000%, 1/01/27 – AMBAC Insured (Alternative Minimum Tax)    1/11 at 101.00    AA    343,611 

2,490    Total Massachusetts            2,377,605 

    Michigan – 1.7%             
1,000    Cornell Township Economic Development Corporation, Michigan, Environmental Improvement Revenue    5/12 at 100.00    AAA    1,089,310 
     Refunding Bonds, MeadWestvaco Corporation-Escanaba Project, Series 2002, 5.875%, 5/01/18             
     (Pre-refunded 5/01/12)             
600    Michigan State Hospital Finance Authority, Hospital Revenue Refunding Bonds, Sinai Hospital,    7/08 at 100.00    Ba3    599,982 
     Series 1995, 6.625%, 1/01/16             
470    Michigan State Hospital Finance Authority, Revenue Refunding Bonds, Detroit Medical Center,    8/08 at 100.00    BB–    470,508 
     Series 1988A, 8.125%, 8/15/12             

2,070    Total Michigan            2,159,800 

    Minnesota – 0.7%             
825    White Earth Band of Chippewa Indians, Minnesota, Revenue Bonds, Series 2000A, 7.000%,    No Opt. Call    N/R    844,949 
     12/01/11 – ACA Insured             

    Mississippi – 0.8%             
    Mississippi Hospital Equipment and Facilities Authority, Revenue Bonds, Baptist Memorial             
    Healthcare, Series 2004B-1:             
700     5.000%, 9/01/16    No Opt. Call    AA    721,672 
300     5.000%, 9/01/24    9/14 at 100.00    AA    297,354 

1,000    Total Mississippi            1,019,026 

    Montana – 0.2%             
60    University of Montana, Revenue Bonds, Series 1996D, 5.375%, 5/15/19 – MBIA Insured (ETM)    9/08 at 101.00    AA (4)    65,324 

    Nebraska – 0.9%             
1,000    Dodge County School District 1, Nebraska, Fremont Public Schools, General Obligation Bonds,    12/14 at 100.00    Aaa    1,045,110 
     Series 2004, 5.000%, 12/15/19 – FSA Insured             
30    NebHelp Inc., Nebraska, Senior Subordinate Bonds, Student Loan Program, Series 1993A-5B,    No Opt. Call    A2    30,874 
     6.250%, 6/01/18 – MBIA Insured (Alternative Minimum Tax)             

1,030    Total Nebraska            1,075,984 

    Nevada – 0.5%             
    Director of Nevada State Department of Business and Industry, Revenue Bonds, Las Vegas             
    Monorail Project, First Tier, Series 2000:             
800     0.000%, 1/01/15 – AMBAC Insured    No Opt. Call    AA    496,408 
35     0.000%, 1/01/16 – AMBAC Insured    No Opt. Call    AA    19,891 
120     0.000%, 1/01/18 – AMBAC Insured    No Opt. Call    AA    57,599 
25     0.000%, 1/01/20 – AMBAC Insured    No Opt. Call    AA    10,057 

980    Total Nevada            583,955 

    New Jersey – 0.4%             
500    Bayonne Redevelopment Agency, New Jersey, Revenue Bonds, Royal Caribbean Cruises Project,    No Opt. Call    BB+    494,080 
     Series 2006A, 4.750%, 11/01/16 (Alternative Minimum Tax)             

    New York – 6.4%             
1,000    Dormitory Authority of the State of New York, Revenue Bonds, Brooklyn Law School, Series    7/13 at 100.00    A    1,037,550 
     2003A, 5.500%, 7/01/15 – RAAI Insured             
300    New York City Industrial Development Agency, New York, Civic Facility Revenue Bonds, Special    No Opt. Call    N/R    293,190 
     Needs Facilities Pooled Program, Series 2008A-1, 5.700%, 7/01/13             
1,500    New York State Energy Research and Development Authority, Facilities Revenue Bonds,    9/08 at 100.00    A1    1,500,690 
     Consolidated Edison Company Inc., Series 2001A, 4.700%, 6/01/36 (Mandatory put 10/01/12)             
     (Alternative Minimum Tax)             
315    New York State Medical Care Facilities Finance Agency, FHA-Insured Mortgage Hospital and    8/08 at 100.00    AA+    315,847 
     Nursing Home Revenue Bonds, Series 1995C, 6.100%, 8/15/15             
4,300    Port Authority of New York and New Jersey, Special Project Bonds, JFK International Air    No Opt. Call    AA    4,705,919 
     Terminal LLC, Sixth Series 1997, 7.000%, 12/01/12 – MBIA Insured (Alternative Minimum Tax)             

7,415    Total New York            7,853,196 

    North Carolina – 1.6%             
1,880    Union County, North Carolina, Certificates of Participation, Series 2003, 5.000%, 6/01/18 –    6/13 at 101.00    AA    1,961,047 
     AMBAC Insured             

    Ohio – 1.4%             
845    Buckeye Tobacco Settlement Financing Authority, Ohio, Tobacco Settlement Asset-Backed Revenue    6/17 at 100.00    BBB    766,584 
     Bonds, Senior Lien, Series 2007A-2, 5.125%, 6/01/24             
1,000    Toledo-Lucas County Port Authority, Ohio, Port Revenue Bonds, Cargill Inc., Series 2004B,    No Opt. Call    A    1,022,960 
     4.500%, 12/01/15             

1,845    Total Ohio            1,789,544 

    Oklahoma – 0.9%             
1,150    Oklahoma State Industries Authority, Health System Revenue Refunding Bonds, Baptist Medical    8/08 at 100.00    AA    1,152,887 
     Center, Series 1995D, 5.000%, 8/15/14 – AMBAC Insured             

    Pennsylvania – 7.1%             
1,010    Pennsylvania Higher Educational Facilities Authority, College Revenue Bonds, Ninth Series    No Opt. Call    Aaa    1,136,593 
     1976, 7.625%, 7/01/15 (ETM)             
225    Pennsylvania Higher Educational Facilities Authority, Revenue Bonds, University of the Arts,    3/09 at 100.00    A (4)    241,727 
     Series 1999, 5.150%, 3/15/20 – RAAI Insured (ETM)             
4,120    Philadelphia Gas Works, Pennsylvania, Revenue Bonds, Eighteenth Series 2004, 5.000%, 8/01/15 –    8/14 at 100.00    AA    4,275,282 
     AMBAC Insured             
1,605    Philadelphia Gas Works, Pennsylvania, Revenue Bonds, Twelfth Series 1990B, 7.000%, 5/15/20 –    No Opt. Call    Aaa    1,899,871 
     MBIA Insured (ETM)             
1,085    Pittsburgh School District, Allegheny County, Pennsylvania, General Obligation Bonds, Series    No Opt. Call    AA    1,140,140 
     2006B, 5.000%, 9/01/12 – AMBAC Insured             

8,045    Total Pennsylvania            8,693,613 

    South Carolina – 6.3%             
750    Berkeley County School District, South Carolina, Installment Purchase Revenue Bonds, Securing    12/13 at 100.00    A–    767,340 
     Assets for Education, Series 2003, 5.250%, 12/01/19             
1,540    Piedmont Municipal Power Agency, South Carolina, Electric Revenue Bonds, Series 1991, 6.750%,    No Opt. Call    Baa1 (4)    1,892,106 
     1/01/19 – FGIC Insured (ETM)             
2,835    Piedmont Municipal Power Agency, South Carolina, Electric Revenue Bonds, Series 1991, 6.750%,    No Opt. Call    Baa1    3,294,524 
     1/01/19 – FGIC Insured             
5    South Carolina JOBS Economic Development Authority, Economic Development Revenue Bonds, Bon    11/12 at 100.00    A– (4)    5,455 
     Secours Health System Inc., Series 2002A, 5.625%, 11/15/30 (Pre-refunded 11/15/12)             
20    South Carolina JOBS Economic Development Authority, Economic Development Revenue Bonds, Bon    11/12 at 100.00    A–    20,149 
     Secours Health System Inc., Series 2002B, 5.625%, 11/15/30             
1,260    South Carolina JOBS Economic Development Authority, Hospital Revenue Bonds, Palmetto Health    No Opt. Call    Baa2 (4)    1,335,449 
     Alliance, Series 2000A, 7.000%, 12/15/10 (ETM)             
485    Tobacco Settlement Revenue Management Authority, South Carolina, Tobacco Settlement    5/11 at 101.00    BBB    511,767 
     Asset-Backed Bonds, Series 2001B, 6.000%, 5/15/22             

6,895    Total South Carolina            7,826,790 

    South Dakota – 0.8%             
1,000    South Dakota Health and Educational Facilities Authority, Revenue Bonds, Sanford Health,    5/17 at 100.00    AA–    978,110 
     Series 2007, 5.000%, 11/01/27             

    Tennessee – 2.1%             
    Shelby County Health, Educational and Housing Facilities Board, Tennessee, Hospital Revenue             
    Bonds, Methodist Healthcare, Series 2002:             
750     6.000%, 9/01/17 (Pre-refunded 9/01/12)    9/12 at 100.00    A– (4)    825,413 
1,250     6.000%, 9/01/17 (Pre-refunded 9/01/12)    9/12 at 100.00    A– (4)    1,375,688 
400    The Tennessee Energy Acquisition Corporation, Gas Revenue Bonds, Series 2006A, 5.000%, 9/01/13    No Opt. Call    AA–    397,404 

2,400    Total Tennessee            2,598,505 

    Texas – 6.5%             
1,055    Austin, Texas, General Obligation Bonds, Series 2004, 5.000%, 9/01/20 – MBIA Insured    9/14 at 100.00    AAA    1,094,299 
565    Bexar County Housing Finance Corporation, Texas, FNMA Guaranteed Multifamily Housing Revenue    No Opt. Call    AAA    571,752 
     Bonds, Villas Sonterra Apartments Project, Series 2007A, 4.700%, 10/01/15 (Alternative             
     Minimum Tax)             
25    Brazos River Authority, Texas, Collateralized Pollution Control Revenue Bonds, Texas Utilities    No Opt. Call    Caa1    21,909 
     Electric Company, Series 2003D, 5.400%, 10/01/29 (Mandatory put 10/01/14)             
2,000    Brazos River Authority, Texas, Collateralized Revenue Refunding Bonds, CenterPoint Energy    6/14 at 100.00    BBB+    1,919,400 
     Inc., Series 2004B, 4.250%, 12/01/17 – FGIC Insured             
500    Brazos River Authority, Texas, Pollution Control Revenue Refunding Bonds, TXU Electric    No Opt. Call    Caa1    469,710 
     Company, Series 2001C, 5.750%, 5/01/36 (Mandatory put 11/01/11) (Alternative Minimum Tax)             
15    Brazos River Authority, Texas, Pollution Control Revenue Refunding Bonds, TXU Energy Company    No Opt. Call    Caa1    14,186 
     LLC, Series 2003A, 6.750%, 4/01/38 (Mandatory put 4/01/13) (Alternative Minimum Tax)             
1,875    Denton Independent School District, Denton County, Texas, General Obligation Bonds, Series    8/16 at 100.00    AAA    1,963,331 
     2006, 5.000%, 8/15/20             
55    Galveston Property Finance Authority Inc., Texas, Single Family Mortgage Revenue Bonds, Series    9/08 at 100.00    Caa1    53,881 
     1991A, 8.500%, 9/01/11             
300    Kerrville Health Facilities Development Corporation, Texas, Revenue Bonds, Sid Peterson    No Opt. Call    BBB–    275,874 
     Memorial Hospital Project, Series 2005, 5.125%, 8/15/26             
25    Sabine River Authority, Texas, Pollution Control Revenue Bonds, TXU Energy Company LLC    No Opt. Call    Caa1    23,473 
     Project, Series 2001B, 5.750%, 5/01/30 (Mandatory put 11/01/11) (Alternative Minimum Tax)             
1,500    Texas Municipal Gas Acquisition and Supply Corporation I, Gas Supply Revenue Bonds, Series    9/08 at 100.00    A2    1,285,890 
     2006B, 2.410%, 12/15/17             
320    Tri-County Mental Health and Retardation Center, Texas, Revenue Bonds, Facilities Acquisition    9/08 at 100.00    AAA    322,096 
     Program, Series 1995E, 6.500%, 3/01/15 – FSA Insured             

8,235    Total Texas            8,015,801 

    Utah – 0.9%             
1,105    Bountiful, Davis County, Utah, Hospital Revenue Refunding Bonds, South Davis Community    No Opt. Call    N/R    1,101,110 
     Hospital Project, Series 1998, 6.000%, 12/15/10             

    Virginia – 0.2%             
250    Virginia College Building Authority, Educational Facilities Revenue Refunding Bonds, Marymount    7/08 at 101.00    A    250,093 
     University, Series 1998, 5.100%, 7/01/18 – RAAI Insured             

    Washington – 2.7%             
1,130    Washington Public Power Supply System, Revenue Refunding Bonds, Nuclear Project 1, Series    No Opt. Call    AAA    1,130,170 
     1993A, 7.000%, 7/01/08 (ETM)             
1,870    Washington Public Power Supply System, Revenue Refunding Bonds, Nuclear Project 1, Series    No Opt. Call    AAA    1,870,262 
     1993A, 7.000%, 7/01/08             
295    Washington Public Power Supply System, Revenue Refunding Bonds, Nuclear Project 3, Series    No Opt. Call    Aaa    358,053 
     1989B, 7.125%, 7/01/16 – MBIA Insured             

3,295    Total Washington            3,358,485 

    Wisconsin – 3.7%             
    Badger Tobacco Asset Securitization Corporation, Wisconsin, Tobacco Settlement Asset-Backed             
    Bonds, Series 2002:             
735     6.125%, 6/01/27    6/12 at 100.00    BBB    725,967 
1,480     6.375%, 6/01/32    6/12 at 100.00    BBB    1,485,224 
1,000    Wisconsin Health and Educational Facilities Authority, Revenue Bonds, Agnesian Healthcare    7/11 at 100.00    A–    1,022,810 
     Inc., Series 2001, 6.000%, 7/01/21             
1,150    Wisconsin Health and Educational Facilities Authority, Revenue Bonds, Aurora Health Care Inc.,    2/09 at 101.00    BBB+    1,145,044 
     Series 1999A, 5.500%, 2/15/20 – ACA Insured             
200    Wisconsin Health and Educational Facilities Authority, Revenue Bonds, Wheaton Franciscan    8/16 at 100.00    A–    191,356 
     Healthcare System, Series 2006, 5.250%, 8/15/18             

4,565    Total Wisconsin            4,570,401 

$       122,354    Total Long-Term Investments (cost $120,973,142) – 98.4%            121,417,159 


    Short-Term Investments – 0.4%             
$              500    Metropolitan Transportation Authority, New York, Transportation Revenue Bonds, Variable Rate        VMIG-1    500,000 
     Demand Obligations, Trust 862, 6.000%, 11/15/32 – FGIC Insured (5)             


    Total Short-Term Investments (cost $500,000)            500,000 

    Total Investments (cost $121,473,142) – 98.8%            121,917,159 

    Other Assets Less Liabilities – 1.2%            1,511,011 

    Net Assets – 100%           $   123,428,170 



(1)    All percentages shown in the Portfolio of Investments are based on net assets. 
(2)    Optional Call Provisions: Dates (month and year) and prices of the earliest optional call or redemption. 
    There may be other call provisions at varying prices at later dates. Certain mortgage-backed securities 
    may be subject to periodic principal paydowns. 
(3)    Ratings: Using the higher of Standard & Poor’s Group (“Standard & Poor’s”) or Moody’s Investor Service, 
    Inc. (“Moody’s”) rating. Ratings below BBB by Standard & Poor’s or Baa by Moody’s are considered to be 
    below investment grade. 
    The Portfolio of Investments may reflect the ratings on certain bonds insured by ACA, AMBAC, CIFG, FGIC, 
    MBIA, RAAI and XLCA as of June 30, 2008. Subsequent to June 30, 2008, and during the period this 
    Portfolio of Investments was prepared, there may have been reductions to the ratings of certain bonds 
    resulting from changes to the ratings of the underlying insurers both during the period and after period 
    end. Such reductions would likely reduce the effective rating of many of the bonds insured by that 
    insurer or insurers presented at period end. 
(4)    Backed by an escrow or trust containing sufficient U.S. Government or U.S. Government agency securities 
    which ensure the timely payment of principal and interest. Such investments are normally considered to 
    be equivalent to AAA rated securities. 
(5)    Investment has a maturity of more than one year, but has variable rate and demand features which qualify 
    it as a short-term investment. The rate disclosed is that in effect at the end of the reporting period. This 
    rate changes periodically based on market conditions or a specified market index. 
N/R    Not rated. 
(ETM)    Escrowed to maturity. 

Fair Value Measurements

During the current fiscal period, the Fund adopted the provisions of Statement of Financial Accounting Standards No. 157, Fair Value Measurements (SFAS 157). SFAS 157 defines fair value, establishes a framework for measuring fair value in generally accepted accounting principles, and expands disclosure about fair value measurements. In determining the value of the Fund’s investments various inputs are used. These inputs are summarized in the three broad levels listed below:

Level 1 – Quoted prices in active markets for identical securities. 
Level 2 – Other significant observable inputs (including quoted prices for similar securities, interest 
              rates, prepayment speeds, credit risk, etc.). 
Level 3 – Significant unobservable inputs (including management’s assumptions in determining the 
              fair value of investments). 

The inputs or methodology used for valuing securities are not an indication of the risk associated with investing in those securities.

The following is a summary of the Fund’s fair value measurements as of June 30, 2008:

    Level 1    Level 2    Level 3    Total 

Investments    $—    $121,917,159    $—    $121,917,159 


Income Tax Information

The following information is presented on an income tax basis. Differences between amounts for financial statement and federal income tax purposes are primarily due to the timing differences in recognizing taxable market discount and timing differences in recognizing certain gains and losses on investment transactions. To the extent that differences arise that are permanent in nature, such amounts are reclassified within the capital accounts on the Statement of Assets and Liabilities presented in the annual report, based on their federal tax basis treatment; temporary differences do not require reclassification. Temporary and permanent differences do not impact the net asset value of the Fund.

At June 30, 2008, the cost of investments was $121,410,218.

Gross unrealized appreciation and gross unrealized depreciation of investments at June 30, 2008, were as follows:


Gross unrealized:     
  Appreciation    $ 2,335,512 
  Depreciation    (1,828,571) 

Net unrealized appreciation (depreciation) of investments    $    506,941 



Item 2. Controls and Procedures.

  1. The registrant's principal executive and principal financial officers, or persons performing similar functions, have concluded that the registrant's disclosure controls and procedures (as defined in Rule 30a-3(c) under the Investment Company Act of 1940, as amended (the "1940 Act") (17 CFR 270.30a-3(c))) are effective, as of a date within 90 days of the filing date of this report that includes the disclosure required by this paragraph, based on their evaluation of the controls and procedures required by Rule 30a-3(b) under the 1940 Act (17 CFR 270.30a-3(b)) and Rule 13a-15(b) or 15d-15(b) under the Securities Exchange Act of 1934 (17 CFR 240.13a-15(b) or 240.15d-15(b)).
  2. There were no changes in the registrant's internal control over financial reporting (as defined in Rule 30a-3(d) under the 1940 Act (17 CFR 270.30a-3(d)) that occurred during the registrant's last fiscal quarter that have materially affected, or are reasonably likely to materially affect, the registrant's internal control over financial reporting.

Item 3. Exhibits.

File as exhibits as part of this Form a separate certification for each principal executive officer and principal financial officer of the registrant as required by Rule 30a-2(a) under the 1940 Act (17 CFR 270.30a-2(a)), exactly as set forth below: See EX-99 CERT attached hereto.


SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

(Registrant)         Nuveen Select Maturities Municipal Fund         

By (Signature and Title)          /s/ Kevin J. McCarthy                    
                                                  Kevin J. McCarthy
                                                  Vice President and Secretary

Date         August 29, 2008        

Pursuant to the requirements of the Securities Exchange Act of 1934 and the Investment Company Act of 1940, this report has been signed below by the following persons on behalf of the registrant and in the capacities and on the dates indicated.

By (Signature and Title)         /s/ Gifford R. Zimmerman                    
                                                 Gifford R. Zimmerman
                                                 Chief Administrative Officer (principal executive officer) 

Date         August 29, 2008        

By (Signature and Title)         /s/ Stephen D. Foy                              
                                                 Stephen D. Foy
                                                 Vice President and Controller (principal financial officer) 

Date        August 29, 2008