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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1. Name and Address of Reporting Person * BARKER PETER K   2. Issuer Name and Ticker or Trading Symbol Avery Dennison Corp [AVY] 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) 207 GOODE AVENUE 3. Date of Earliest Transaction (Month/Day/Year) 04/29/2016 (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 Common Stock 04/29/2016   M   1,015 A $ 72.82 20,853 D   Common Stock 04/29/2016   M   859 A $ 72.82 21,712 D   Common Stock 04/29/2016   M   746 A $ 72.82 22,458 D

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

2013 Director RSU Award

$ 0

04/29/2016(1)

M

1,015 (2)

05/01/2014

05/01/2016

Common Stock

1,015

$ 0

0

D

2014 Director RSU Award

$ 0

04/29/2016(1)

M

859 (3)

05/01/2015

05/01/2017

Common Stock

859

$ 0

859

D

2015 Director RSU Award

$ 0

04/29/2016(1)

M

746 (4)

05/01/2016

05/01/2018

Common Stock

746

$ 0

1,493

D

2016 Director RSU Award

$ 0

05/01/2016(5)

A

1,922 (6)

05/01/2017

05/01/2019

Common Stock

1,922

$ 0

1,922

D

Common Stock Units - DDECP

$ 0

08/08/1988

08/08/1988

Common Stock

24,323.1219

24,323.1219

I

DDECP

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
BARKER PETER K 207 GOODE AVENUE GLENDALE, CA 91203	X

Signatures

/s/ Erica Perry POA for Peter K Barker		05/02/2016
**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)	Because the vesting date of the restricted stock units fell on a weekend, they vested on April 29, 2016, the last trading day prior to the vesting date.
(2)	Shares reflect the vesting of the third tranche of restricted stock units granted on May 1, 2013.
(3)	Shares reflect the vesting of the second tranche of restricted stock units granted on May 1, 2014.
(4)	Shares reflect the vesting of the first tranche of restricted stock units granted on May 1, 2015.
(5)	Because the grant date of the restricted stock units fell on a weekend, the grant date fair market value was based on April 29, 2016, the last trading day prior to the grant date.
(6)	The restricted stock units vest in three cumulative installments on the first, second and third anniversaries of the date of grant. Each restricted stock unit represents a contingent right to receive one share of Avery Dennison Corporation common stock.

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