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 * MOSS ROBERT E   2. Issuer Name and Ticker or Trading Symbol STERIS CORP [STE] 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) 5960 HEISLEY ROAD 3. Date of Earliest Transaction (Month/Day/Year) 06/01/2015 (Street) MENTOR, OH 44060 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 Shares, No Par Value 06/01/2015   F   380 (1) D $ 67.46 (2) 43,561 D   Common Shares, No Par Value 06/01/2015   F   380 (3) D $ 67.46 (2) 43,181 D   Common Shares, No Par Value 06/01/2015   F   475 (4) D $ 67.46 (2) 42,706 D   Common Shares, No Par Value 06/01/2015   F   285 (5) D $ 67.46 42,421 (6) D   Common Shares, No Par Value               13,822 I See Footnote Below. (7)

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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

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
MOSS ROBERT E 5960 HEISLEY ROAD MENTOR, OH 44060			Senior Vice President

Signatures

/s/ Dennis P. Patton, Authorized Representative under Power of Attorney		06/03/2015
**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)	380 shares were withheld from the 800 restricted shares that vested on June 1, 2015. These 380 shares represent the value of the taxes required to be withheld pursuant to applicable employment or tax laws, as determined by the Issuer. These 800 shares were awarded to Mr. Moss on May 31, 2011 as part of an award of 3,200 restricted shares. These vested shares were valued at the NYSE closing market price on June 1, 2015.
(2)	Closing market price on the NYSE on the day on which the restricted shares vested.
(3)	380 shares were withheld from the 800 restricted shares that vested on June 1, 2015. These 380 shares represent the value of the taxes required to be withheld pursuant to applicable employment or tax laws, as determined by the Issuer. These 800 shares were awarded to Mr. Moss on May 30, 2012 as part of an award of 2,400 restricted shares. These vested shares were valued at the NYSE closing market price on June 1, 2015.
(4)	475 shares were withheld from the 1,000 restricted shares that vested on June 1, 2015. These 475 shares represent the value of the taxes required to be withheld pursuant to applicable employment or tax laws, as determined by the Issuer. These 1,000 shares were awarded to Mr. Moss on May 31, 2013 as part of an award of 4,000 restricted shares. These vested shares were valued at the NYSE closing market price on June 1, 2015.
(5)	285 shares were withheld from the 600 restricted shares that vested on June 1, 2015. These 285 shares represent the value of the taxes required to be withheld pursuant to applicable employment or tax laws, as determined by the Issuer. These 600 shares were awarded to Mr. Moss on May 30, 2014 as part of an award of 1,200 restricted shares. These vested shares were valued at the NYSE closing market price on June 1, 2015.
(6)	2,600 of these Common Shares are restricted. The restrictions on these Common Shares lapse as follows: 1,000 on May 31, 2016; 1,000 on May 31, 2017; and 600 on May 30, 2016.
(7)	This indirect ownership by Mr. Moss is through the Moss Family Trust, Robert E. Moss and Patricia J. Moss as Co-Trustees dated May 24, 1999.

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