Ownership Submission
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 *
SIMMONS L E
  2. Issuer Name and Ticker or Trading Symbol
OIL STATES INTERNATIONAL, INC [CPX]
5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director __X__ 10% Owner
_____ Officer (give title below) __X__ Other (specify below)
Member of Group
(Last)
(First)
(Middle)
600 TRAVIS STREET, SUITE 6600
3. Date of Earliest Transaction (Month/Day/Year)
06/11/2008
(Street)

HOUSTON, TX 77002
4. If Amendment, Date Original Filed(Month/Day/Year)
6. Individual or Joint/Group Filing(Check Applicable Line)
___ Form filed by One Reporting Person
_X_ 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 06/11/2008   S(1)   200,000 D $ 31.91 10,064,820 I By SCF-IV, L.P. (2)
Common Stock 06/12/2008   S(1)   82,608 D $ 31.94 9,982,212 I By SCF-IV, L.P. (2)
Common Stock               1,394,086 D  
Common Stock               73,405 I By L.E. Simmons & Associates, inc. (2)
Common Stock               1,049,200 I By LESFP, Ltd. (2)
Common Stock               120,654 I By LES/VCWS 2005 Family Trust (2)
Common Stock               681,432 I By SCF-VI, L.P. (2)

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

Reporting Owners

Reporting Owner Name / Address Relationships
 Director  10% Owner  Officer  Other
SIMMONS L E
600 TRAVIS STREET
SUITE 6600
HOUSTON, TX 77002
    X   Member of Group
SCF IV LP
600 TRAVIS STE 6600
HOUSTON, TX 77002
      Member of Group
SCF VI LP
600 TRAVIS STE 6600
HOUSTON, TX 77002
      Member of Group
SCF-VI, G.P., Limited Partnership
600 TRAVIS STREET
SUITE 6600
HOUSTON, TX 77002
      Member of Group
SIMMONS L E & ASSOCIATES INC
600 TRAVIS STE 6600
HOUSTON, TX 77002
      Member of Group

Signatures

 L.E. Simmons   06/13/2008
**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) Represents sale of common stock of issuer held by SCF-IV, L.P.
(2) The reporting person is sole stockholder and director of L.E. Simmons & Associates, Inc., a Delaware corporation (LESA), which is the sole general partner of SCF-IV GP LLC, of SCF-VI GP Limited Partnership (SCF-VI GP) and SCF-IV GP, both of which are Delaware limited partnerships. Additionally, SCF-VI GP is the sole general partner of SCF-VI LP (SCF-VI) and SCF-IV GP was, until the reported distribution, the sole general partner of SCF-IV. The reporting person is also the ultimate general partner of LESFP, Ltd. (LESFP) and a trustee of the LES/VCWS 2005 Family Trust (LES/VCWS 2005). Based on the reporting person's affiliation with LESFP, LES/VCWS 2005, SCF-VI GP, SCF-IV GP, SCF-IV GP LLC, SCF-VI and SCF-IV (collectively the "Related Entities"), the reporting person may be deemed to beneficially own all of the shares of common stock of the Issuer beneficially owned or deemed to be beneficially owned by the Related Entities.
 
Remarks:
L.E. Simmons is signing for himself, as the designated filer, as well as in his capacity as attorney-in-fact for LESA, LESFP, LES/VCWS 2005, SCF-VI GP, SCF-IV GP, SCF-VI, SCF-IV GP LLC and SCF-IV.

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