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 * BRAMMAN ANNE L   2. Issuer Name and Ticker or Trading Symbol Avery Dennison Corp [AVY] 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 and CFO (Last) (First) (Middle) 207 GOODE AVENUE 3. Date of Earliest Transaction (Month/Day/Year) 06/01/2015 (Street) GLENDALE, CA 91203 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

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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

2015 MSU Award

$ 0

06/01/2015

A

6,357 (1)

02/26/2016

02/26/2019

Common Stock

6,357

$ 0

6,357

D

2015 PU Award

$ 0

06/01/2015

A

8,034 (2)

02/26/2018

02/26/2018

Common Stock

8,034

$ 0

8,034

D

2015 RSU Award

$ 0

06/01/2015

A

6,492 (3)

06/01/2016

06/01/2018

Common Stock

6,492

$ 0

6,492

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
BRAMMAN ANNE L 207 GOODE AVENUE GLENDALE, CA 91203			Senior Vice President and CFO

Signatures

/s/ Erica Perry POA for Anne L. Bramman		06/02/2015
**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)	Market leveraged stock units vest 25% over one-, two-, three- and four-year performance periods using a conversion formula under which the number of shares earned is adjusted at each vesting date based on the percentage change in the Company's stock price plus dividend equivalents accrued during the vesting period. Each marked leveraged stock unit represents a contingent right to receive one share of Avery Dennison Corporation common stock, plus dividend equivalents.
(2)	Performance units vest, if at all, at the end of fiscal year 2017, provided certain Company performance objectives are met as determined in February 2018. Each performance unit represents a contingent right to receive one share of Avery Dennison Corporation common stock.
(3)	The restricted stock units vest in equal installments on the first, second, and third anniversaries of the grant date. Each restricted stock unit represents a contingent right to receive one share of Avery Dennison Corporation common stock.

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