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                      _____ 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)

6/4/2018
(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
Class A Common Stock   6/4/2018     C    1024538.0000   A $0   (1) 1024538.0000   I   By Ltd Liability Company (SHA)   (2)
Class A Common Stock   6/4/2018     J (3)    1024538.0000   D $0   (3) 0.0000   I   By Ltd Liability Company (SHA)   (2)
Class A Common Stock   6/4/2018     C    50000.0000   A $0   (1) 50000.0000   I   By Ltd Partnership (SHV As Nominee)   (4)
Class A Common Stock   6/4/2018     S (5)    50000.0000   D $22.6474   (6) 0.0000   I   By Ltd Partnership (SHV As Nominee)   (4)
Class A Common Stock   6/5/2018     C    50000.0000   A $0   (1) 50000.0000   I   By Ltd Partnership (SHV As Nominee)   (4)
Class A Common Stock   6/5/2018     S (5)    50000.0000   D $23.0549   (7) 0.0000   I   By Ltd Partnership (SHV As Nominee)   (4)
Class A Common Stock   6/6/2018     C    50000.0000   A $0   (1) 50000.0000   I   By Ltd Partnership (SHV As Nominee)   (4)
Class A Common Stock   6/6/2018     S (5)    50000.0000   D $23.4625   (8) 0.0000   I   By Ltd Partnership (SHV As Nominee)   (4)
Class A Common Stock   6/4/2018     J (9)    40982.0000   A $0   (9) 40982.0000   I   By Trust (Trustees)   (10)
Class A Common Stock                  15601.0000   D   (11)  

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) 6/4/2018     C         1024538.0000      (1)   (1) Class A Common Stock   1024538.0000     (1) 0.0000   I   By Ltd Liability Company (SHA)   (2)
Class B Common Stock     (1) 6/4/2018     C         50000.0000      (1)   (1) Class A Common Stock   50000.0000     (1) 2572254.0000   I   By Ltd Partnership (SHV As Nominee)   (4)
Class B Common Stock     (1) 6/5/2018     C         50000.0000      (1)   (1) Class A Common Stock   50000.0000     (1) 2522254.0000   I   By Ltd Partnership (SHV As Nominee)   (4)
Class B Common Stock     (1) 6/6/2018     C         50000.0000      (1)   (1) Class A Common Stock   50000.0000     (1) 2472254.0000   I   By Ltd Partnership (SHV As Nominee)   (4)
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   232226.0000     232226.0000   I   By Ltd Liability Company (SHM)   (12)
Class B Common Stock     (1)                    (1)   (1) Class A Common Stock   377173.0000     377173.0000   I   By Ltd Partnership (CHAT)   (13)
Class B Common Stock     (1)                    (1)   (1) Class A Common Stock   43800.0000     43800.0000   I   By Profit Sharing Plan Trust   (14)
Class B Common Stock     (1)                    (1)   (1) Class A Common Stock   2938406.0000     2938406.0000   I   By Trust (Trustees)   (10)

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: (i) 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)  Shares held by Sutter Hill Associates, LLC ("SHA"). Sutter Hill Ventures, a California Limited Partnership ("SHV") has voting and dispositive power over the shares held by SHA, and the reporting person is a trustee of a trust which is a member of SHA. The reporting person disclaims beneficial ownership in these shares except as to the reporting person's pecuniary interest therein.
(3)  Represents a pro rata distribution by SHA to its members, including a trust of which the reporting person is a trustee, for no additional consideration.
(4)  Shares held by SHV as a nominee on behalf of, and for the exclusive benefit of, a trust (of which the reporting person is a trustee), which is a member 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.
(5)  These sales were effected pursuant to a Rule 10b5-1 trading plan adopted by the reporting person on March 23, 2018.
(6)  The price reported in Column 4 is a weighted average price. These shares were sold in multiple transactions ranging from $22.30 to $22.91, inclusive. The reporting person undertakes to provide to Pure Storage, Inc., and any security holder of Pure Storage, Inc., or the staff of the Securities and Exchange Commission, upon request, full information regarding the number of shares sold at each separate price within the range set forth in this footnote.
(7)  The price reported in Column 4 is a weighted average price. These shares were sold in multiple transactions ranging from $22.84 to $23.26, inclusive. The reporting person undertakes to provide to Pure Storage, Inc., and any security holder of Pure Storage, Inc., or the staff of the Securities and Exchange Commission, upon request, full information regarding the number of shares sold at each separate price within the range set forth in this footnote.
(8)  The price reported in Column 4 is a weighted average price. These shares were sold in multiple transactions ranging from $23.24 to $23.74, inclusive. The reporting person undertakes to provide to Pure Storage, Inc., and any security holder of Pure Storage, Inc., or the staff of the Securities and Exchange Commission, upon request, full information regarding the number of shares sold at each separate price within the range set forth in this footnote.
(9)  Shares received in connection with the pro rata distribution by SHA as described in footnote (3).
(10)  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.
(11)  The reporting person shares pecuniary interest in these shares with other individuals pursuant to a contractual relationship. The reporting person disclaims beneficial ownership in these shares except as to the reporting person's pecuniary interest in these shares.
(12)  Shares held by Sutter Hill Management Company, L.L.C ("SHM"). SHV has voting and dispositive power over the shares held by SHM, and the reporting person is a trustee of a trust which is a member of SHM. The reporting person disclaims beneficial ownership in these shares except as to the reporting person's pecuniary interest therein.
(13)  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.
(14)  Shares held by the SHV Profit Sharing Plan, a retirement trust, for the benefit of the reporting person.

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



Signatures
/s/ Robert Yin, by power of attorney 6/6/2018
** 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.
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.
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