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
OMB APPROVAL
OMB Number: 3235-0287
Expires: January 31, 2005
Estimated average burden hours per response... 0.5

(Print or Type Responses)
1. Name and Address of Reporting Person *
WULF GENE C
  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)
Senior Vice President
(Last)
(First)
(Middle)
ONE NEENAH CENTER, 4TH FLOOR, P.O. BOX 669
3. Date of Earliest Transaction (Month/Day/Year)
06/12/2007
(Street)

NEENAH, WI 54957
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 06/12/2007   M   8,699 (9) A $ 32.13 60,192 D  
Common Stock 12/31/2006   J   58 A (1) 11,403 I 401(k) Plan
Common Stock 03/31/2007   J   164 A (1) 11,567 I 401(k) Plan

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
Persons who respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB control number. SEC 1474 (9-02)

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) 01/02/2003   A   18,304   12/31/2007(4) 12/31/2007 Common Stock 18,304 (3) 18,304 D  
Common Stock (2) 01/28/2004   A   32,000   12/31/2008(5) 12/31/2008 Common Stock 32,000 (3) 32,000 D  
Common Stock (2) 01/01/2005   A   35,000   12/31/2009(6) 12/31/2009 Common Stock 35,000 (3) 35,000 D  
Common Stock (2) 01/02/2006   A   37,000   12/31/2010(7) 12/31/2010 Common Stock 37,000 (3) 37,000 D  
Common Stock (2) 01/03/2007   A   31,000   12/31/2011(8) 12/31/2011 Common Stock 31,000 (3) 31,000 D  
Common Stock $ 22.4375 10/07/1997 06/12/2007 M     50,000 (9)   (10) 10/07/2007 Common Stock 50,000 (11) 0 D  
Common Stock $ 18.8125 01/01/1999   A   9,710     (10) 12/31/2008 Common Stock 9,710 (11) 9,710 D  
Common Stock $ 17.4375 01/01/2000   A   12,500     (10) 12/31/2009 Common Stock 12,500 (11) 12,500 D  
Common Stock $ 16.7813 01/01/2001   A   21,414     (10) 12/31/2010 Common Stock 21,414 (11) 21,414 D  
Common Stock $ 24.59 01/01/2002   A   14,176     (10) 12/31/2011 Common Stock 14,176 (11) 14,176 D  
Common Stock $ 24.815 01/02/2003   A   24,082     (10) 12/31/2012 Common Stock 24,082 (11) 24,082 D  

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
WULF GENE C
ONE NEENAH CENTER, 4TH FLOOR
P.O. BOX 669
NEENAH, WI 54957
      Senior Vice President  

Signatures

 J J Seifert Power of Attorney   06/13/2007
**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, 2007, or if certain performance targets are met by the Company on December 31, 2005.
(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, 2008, or if certain performance targets are met by the Company on December 31, 2006.
(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, 2009, or if certain performance targets are met by the Company on December 31, 2007.
(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, 2010, or if certain performance targets are met by the Company on December 31, 2008.
(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, 2011, or if certain performance targets are met by the Company on December 31, 2009.
(9) Exercise of option to purchase 50,000 shares. Reporting person attested to ownership of 35,038 shares to cover the cost of exercise and requested the Company to use 6,263 shares to cover withholding taxes, resulting in the issuance of 8,699 shares to Reporting Person.
(10) Stock Option (right to buy) pursuant to Stock Option Plan exempt under Rule 16b-3: Options presently exercisable.
(11) Will know price on the date of exercise.

Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.

Potential persons who are to respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB number.