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
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                      	Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940	                      	

1. Name and Address of Reporting Person *

Speiser Michael L	2. Issuer Name and Ticker or Trading Symbol

Pure Storage, Inc. [ PSTG ]	5. Relationship of Reporting Person(s) to Issuer (Check all applicable)

__ X __ Director                      __ X __ 10% Owner
_____ Officer (give title below)      _____ Other (specify below)	
(Last)          (First)          (Middle)

755 PAGE MILL RD., SUITE A-200	3. Date of Earliest Transaction (MM/DD/YYYY)

5/31/2017		
(Street)

PALO ALTO, CA 94304-1005
(City)        (State)        (Zip)	4. If Amendment, Date Original Filed (MM/DD/YYYY)

 	6. Individual or Joint/Group Filing (Check Applicable Line)

_ X _ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person	

Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned	
1.Title of Security
(Instr. 3)	2. Trans. Date	2A. Deemed Execution Date, if any	3. Trans. 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				

Table II - Derivative Securities Beneficially Owned ( e.g. , puts, calls, warrants, options, convertible securities)	
1. Title of Derivate Security
(Instr. 3)	2. Conversion or Exercise Price of Derivative Security	3. Trans. Date	3A. Deemed Execution Date, if any	4. Trans. 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	7. Title and Amount of Securities Underlying Derivative Security
(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					
Class B Common Stock  	  (1)	6/1/2017  	 	P   (2)	  	1024538.0000   	  	  (1)	  (1)	Class A Common Stock  	1024538.0000  	$11.0772   (2)	1024538.0000  	I  	By Ltd Liability Company (SHA)   (3)	
Class B Common Stock  	  (1)	5/31/2017  	 	J   (4)	  	  	4098151.0000   	  (1)	  (1)	Class A Common Stock  	4098151.0000  	  (4)	22528515.0000  	I  	By Ltd Partnership (SHV)   (5)	
Class B Common Stock  	  (1)	6/1/2017  	 	P   (6)	  	3073613.0000   	  	  (1)	  (1)	Class A Common Stock  	3073613.0000  	$11.0772   (6)	25602128.0000  	I  	By Ltd Partnership (SHV)   (5)	
Class B Common Stock  	  (1)	 	 	   	  	  	  	  (1)	  (1)	Class A Common Stock  	6000.0000  	 	6000.0000  	D  	 	
Class B Common Stock  	  (1)	 	 	   	  	  	  	  (1)	  (1)	Class A Common Stock  	377173.0000  	 	377173.0000  	I  	By Ltd Partnership (CHAT)   (7)	
Class B Common Stock  	  (1)	 	 	   	  	  	  	  (1)	  (1)	Class A Common Stock  	43800.0000  	 	43800.0000  	I  	By Profit Sharing Plan Trust   (8)	
Class B Common Stock  	  (1)	 	 	   	  	  	  	  (1)	  (1)	Class A Common Stock  	2938406.0000  	 	2938406.0000  	I  	By Trust (Trustees)   (9)	

Explanation of Responses:	
(1) 	Each share of Class B Common Stock is convertible at any time at the option of the reporting person into one share of Class A Common Stock and has no expiration date. The Class B Common Stock will convert automatically into Class A Common Stock on the same basis upon the earlier of: (1) any transfer, whether or not for value, except for certain "Permitted Transfers" as defined in the Issuer's restated certificate of incorporation in effect as of the date hereof, (ii) the affirmative vote of the holders of Class B Common Stock representing not less than a majority of the outstanding shares of Class B Common Stock, or (iii) October 6, 2025.	
(2) 	In connection with the Liquidation, Sutter Hill Associates, LLC ("SHA") purchased 1,024,538 shares of the Issuer's Class B Common Stock from the Limited Partner at a purchase price equal to the average of the mean between the closing bid and ask prices of the Issuer's Class A Common Stock, which is traded on the New York Stock Exchange, over the ninety (90)-day period ended March 31, 2017.	
(3) 	Shares held by SHA. Sutter Hill Ventures, a California Limited Partnerhsip ("SHV") has voting and dispositive power over the shares held by SHA, and the reporting person is a member of SHA. The reporting person disclaims beneficial ownership in these shares except as to the reporting person's pecuniary interest therein.	
(4) 	On May 31, 2017, a limited partner (the "Limited Partner") of SHV liquidated its interest in SHV in return for its ratable share of the holdings of SHV, resulting in SHV's disposition to the Limited Partner of 4,098,151 shares of the Issuer's Class B Common Stock (the "Liquidation").	
(5) 	Shares held by SHV. The reporting person is a managing director and member of the management committee of the general partner of SHV. The reporting person disclaims beneficial ownership in these shares except as to the reporting person's pecuniary interest therein.	
(6) 	In connection with the Liquidation, SHV entered into an agreement with the Limited Partner to repurchase 3,073,613 shares of the Issuer's Class B Common Stock from the Limited Partner at a purchase price equal to the average of the mean between the closing bid and ask prices of the Issuer's Class A Common Stock, which is traded on the New York Stock Exchange, over the ninety (90)-day period ended March 31, 2017.	
(7) 	Shares held by a limited partnership of which the reporting person is a trustee of a trust which is the general partner. The reporting person disclaims beneficial ownership in these shares except as to the reporting person's pecuniary interest therein.	
(8) 	Shares held by the SHV Profit Sharing Plan, a retirement trust, for the benefit of the reporting person.	
(9) 	Shares held by a trust of which the reporting person is a trustee. The reporting person disclaims beneficial ownership in these shares except as to the reporting person's pecuniary interest therein.	

Reporting Owners	
Reporting Owner Name / Address	Relationships	
	Director	10% Owner	Officer	Other	
Speiser Michael L
755 PAGE MILL RD., SUITE A-200
PALO ALTO, CA 94304-1005	X	X			

Signatures		
/s/ Robert Yin, by power of attorney		6/2/2017	
** Signature of Reporting Person		Date

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.	
*	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).	
Note:	File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.	
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