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 * CURLER JEFFREY H   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 __X__ Officer (give title below) _____ Other (specify below) CEO (Last) (First) (Middle) SUITE 2300, 222 S. 9TH ST. 3. Date of Earliest Transaction (Month/Day/Year) 05/26/2005 (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               606,940 D   Common Stock 03/31/2005   J   370 A (1) 28,142 I 401(k) Plan Common Stock               95,520 I (2) Children Common Stock               300,000 I (3) 1/6th interest - Limited Partnership Family Trust (3) Common Stock 05/26/2005   S   17,905 D $ 27.34 272,500 I (4) Trustee Parental Trust Common Stock 05/26/2005   G   8,000 D $ 27.34 264,500 I (4) Trustee Parental Trust

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	(5)	01/01/2001		A		88,756		12/31/2005(7)	12/31/2005	Common Stock	88,756	(6)	88,756	D
Common Stock	(5)	01/01/2002		A		37,957		12/31/2006(8)	12/31/2006	Common Stock	37,957	(6)	37,957	D
Common Stock	(5)	01/02/2003		A		62,540		12/31/2007(9)	12/31/2007	Common Stock	62,540	(6)	62,540	D
Common Stock	(5)	01/28/2004		A		106,000		12/31/2008(10)	12/31/2008	Common Stock	106,000	(6)	106,000	D
Common Stock	(5)	01/01/2005		A		123,000		12/31/2009(11)	12/31/2009	Common Stock	123,000	(6)	123,000	D
Common Stock	$ 16.1563	02/22/1996		A		90,864		(12)	02/22/1996	Common Stock	90,864	(14)	90,864	D
Common Stock	$ 22.4375	10/07/1997		A		150,000		(12)	10/07/2007	Common Stock	150,000	(14)	150,000	D
Common Stock	$ 18.8125	01/01/1999		A		43,352		(12)	12/31/2008	Common Stock	43,352	(14)	43,352	D
Common Stock	$ 17.4375	01/01/2000		A		61,126		(12)	12/31/2009	Common Stock	61,126	(14)	61,126	D
Common Stock	$ 18.8125	05/03/2000		A		200,000		(12)	05/03/2010	Common Stock	200,000	(14)	200,000	D
Common Stock	$ 16.7813	01/01/2001		A		122,146		(12)	12/31/2010	Common Stock	122,146	(14)	122,146	D
Common Stock	$ 24.59	01/01/2002		A		53,872		(12)	12/31/2011	Common Stock	53,872	(14)	53,872	D
Common Stock	$ 24.815	01/02/2003		A		82,282		(13)	12/31/2012	Common Stock	82,282	(14)	82,282	D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
CURLER JEFFREY H SUITE 2300 222 S. 9TH ST. MINNEAPOLIS, MN 55402-4099	X		CEO

Signatures

J J Seifert Power of Attorney		05/27/2005
**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)	Reporting Person is Trustee of Trust for one Dependent Child.
(3)	Reporting Person has an undivided 1/6th interest in a Limited Partnership Family Trust which was established December 2000. Reporting Person disclaims beneficial ownership of Bemis Common Stock held by the Family Limited Partnership except to the extent of his 1/6th interest.
(4)	Reporting Person is Trustee for Parental Trust.
(5)	Security converts to Common Stock on a one-for-one basis on date of conversion.
(6)	Will know price on the date of conversion..
(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, 2005, or if certain performance targets were met by the Company on December 31, 2003. Performance targets were met resulting in a payout of shares on January 28, 2004, leaving right to receive 88,756 shares.
(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, 2006, or if certain performance targets are met by the Company on December 31, 2004. Performance targets were met resulting in a payout on February 2, 2005, leaving right to receive 37,957 shares.
(9)	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.
(10)	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.
(11)	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.
(12)	Stock Option (right to buy) pursuant to Stock Option Plan exempt under Rule 16b-3: Option presently exercisable.
(13)	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 date of grant.
(14)	Will know the price on the date of exercise.

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