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 *
THEISEN HENRY J
   2. Issuer Name and Ticker or Trading Symbol
BEMIS CO INC [BMS] 		5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director _____ 10% Owner
__X__ Officer (give title below) _____ Other (specify below)
Executive Vice President
(Last)
(First)
(Middle)
SUITE 2300, 222 S. 9TH ST.		 3. Date of Earliest Transaction (Month/Day/Year)
02/02/2005
(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 02/02/2005   G   747 D $ 29.43 14,228 D  
Common Stock 02/02/2005   M   828 (5) A $ 29.43 15,056 D  
Common Stock               10,460 I (1) 401(k) Plan

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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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 (2) 01/01/2001   A   50,000   12/31/2005(4) 12/31/2005 Common Stock 50,000 (3) 50,000 D  
Common Stock (2) 01/01/2002 02/02/2005 M     1,241 12/31/2006(5) 12/31/2006 Common Stock 1,241 (3) 15,753 D  
Common Stock (2) 01/02/2003   A   24,024   12/31/2007(6) 12/31/2007 Common Stock 24,024 (3) 24,024 D  
Common Stock (2) 01/28/2004   A   42,000   12/31/2008(7) 12/31/2008 Common Stock 42,000 (3) 42,000 D  
Common Stock (2) 01/01/2005   A   45,000   12/31/2009(8) 12/31/2009 Common Stock 45,000 (3) 45,000 D  
Common Stock $ 24.59 01/01/2002   A   22,358     (9) 12/31/2011 Common Stock 22,358 (11) 22,358 D  
Common Stock $ 24.815 01/02/2003   A   31,608     (10) 12/31/2012 Common Stock 31,608 (11) 31,608 D  

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
THEISEN HENRY J
SUITE 2300
222 S. 9TH ST.
MINNEAPOLIS, MN 55402-4099		       Executive Vice President  

Signatures

 J J Seifert Power of Attorney   02/03/2005
**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) No price necessary for Edgar Filing - Company 401(k) Plan.
(2) Security converts to Common Stock on a one-for-one basis on date of conversion.
(3) Will know price on the date of conversion.
(4) Award under Bemis Time Accelerated Restricted Stock Appreciation Program (TARSAP) exempt under Rule 16b-3: Grant to Reporting Person of right to receive stock as of December 31, 2005, or if certain performance targets are met by the Company on December 31, 2003.
(5) Award under Bemis Time Accelerated Restricted Stock Appreciation Program (TARSAP) exempt under Rule 16b-3: Grant to Reporting Person of right to receive stock as of December 31, 2006, or if certain performance targets are met by the Company on December 31, 2004. Performance targets were met resulting in the payout of 1,241 shares on February 2, 2005, from which certain shares were withheld for tax purposes, leaving right to receive 15,753 shares.
(6) Award under Bemis Time Accelerated Restricted Stock Appreciation Program (TARSAP) exempt under Rule 16b-3: Grant to Reporting Person of right to receive stock as of December 31, 2007, or if certain performance targets are met by the Company on December 31, 2005.
(7) Award under Bemis Time Accelerated Restricted Stock Appreciation Program (TARSAP) exempt under Rule 16b-3: Grant to Reporting Person of right to receive stock as of December 31, 2008, or if certain performance targets are met by the Company on December 31, 2006.
(8) Award under Bemis Time Accelerated Restricted Stock Appreciation Program (TARSAP) exempt under Rule 16b-3: Grant to Reporting Person of right to receive stock as of December 31, 2009, or if certain performance targets are met by the Company on December 31, 2007.
(9) Stock Option (right to buy) pursuant to Stock Option Plan exempt under Rule 16b-3: Option presently exercisable.
(10) Stock Option (right to buy) pursuant to Stock Option Plan exempt under Rule 16b-3: Options exercisable in three increments of 33 percent on the first, second and third anniversary of date of grant.
(11) Will know price on the date of exercise.

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