Ownership Submission
FORM 4
Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).
UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES

Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940
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(Print or Type Responses)
1. Name and Address of Reporting Person *
MCDONALD NANCY P
   2. Issuer Name and Ticker or Trading Symbol
BEMIS CO INC [BMS] 		5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
__X__ Director _____ 10% Owner
_____ Officer (give title below) _____ Other (specify below)
(Last)
(First)
(Middle)
SUITE 2300, 222 S. 9TH ST.		 3. Date of Earliest Transaction (Month/Day/Year)
05/16/2005
(Street)

MINNEAPOLIS, MN 55402-4099		 4. If Amendment, Date Original Filed(Month/Day/Year)
 6. Individual or Joint/Group Filing(Check Applicable Line)
_X_ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person
(City)
(State)
(Zip)
Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3)		 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code
(Instr. 8)		 4. Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4 and 5)		 5. Amount of Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 3 and 4)		 6. Ownership Form: Direct (D) or Indirect (I)
(Instr. 4)		 7. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V Amount (A) or (D) Price
Common Stock 05/16/2005   S   5,000 D $ 27.25 439,443 D  
Common Stock               1,252,928 I See Footnote (1)
Common Stock               216,384 I See Footnote (2)

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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security
(Instr. 3)		 2. Conversion or Exercise Price of Derivative Security 3. Transaction Date (Month/Day/Year) 3A. Deemed Execution Date, if any (Month/Day/Year) 4. Transaction Code
(Instr. 8)		 5. Number of Derivative Securities Acquired (A) or Disposed of (D)
(Instr. 3, 4, and 5)		 6. Date Exercisable and Expiration Date
(Month/Day/Year)		 7. Title and Amount of Underlying Securities
(Instr. 3 and 4)		 8. Price of Derivative Security
(Instr. 5)		 9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s)
(Instr. 4)		 10. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 4)		 11. Nature of Indirect Beneficial Ownership
(Instr. 4)
Code V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares
Common Stock (3) 05/02/2003   A   1,968   05/02/2006(4) 05/02/2006 Common Stock 1,968 (6) 1,968 D  
Common Stock (3) 05/06/2004   A   1,648   05/06/2007(5) 05/06/2007 Common Stock 1,648 (6) 1,648 D  

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
MCDONALD NANCY P
SUITE 2300
222 S. 9TH ST.
MINNEAPOLIS, MN 55402-4099		   X      

Signatures

 J J Seifert Power of Attorney   05/17/2005
**Signature of Reporting Person Date

Explanation of Responses:

* If the form is filed by more than one reporting person, see Instruction 4(b)(v).
** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1) Shares are owned by a limited liability company in which Reporting Person has an undivided 0.92696 of one percent interest. Reporting Person disclaims to beneficial ownership except to extent of her 0.92696 of one percent interest.
(2) Reporting Person has a beneficial interest of 12-1/2 percent in a trust. Reporting Person disclaims beneficial ownership of Common Stock held by the trust except to the extent of her 12-1/2 percent interest.
(3) Security converts to Common Stock on a one-to-one basis on date of conversion.
(4) Stock Award granted to Bemis Director pursuant to 2001 Stock Incentive Plan exempt under Rule 16b-3: Grant to Reporting Person of right to receive stock as of May 2, 2006.
(5) Stock Award granted to Bemis Director pursuant to 2001 Stock Incentive Plan exempt under Rule 16b-3: Grant to Reporting Person of right to receive stock as of May 6, 2007.
(6) Will know price on date of conversion.

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