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 *
CROWE STEPHEN J
  2. Issuer Name and Ticker or Trading Symbol
CHEVRON CORP [CVX]
5. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
_____ Director _____ 10% Owner
__X__ Officer (give title below) _____ Other (specify below)
Vice Pres. and CFO
(Last)
(First)
(Middle)
6001 BOLLINGER CANYON ROAD
3. Date of Earliest Transaction (Month/Day/Year)
05/07/2008
(Street)

SAN RAMON, CA 94583
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 05/07/2008   S   100 (1) D $ 95.7375 30,841 D  
Common Stock 05/07/2008   S   2,640 D $ 95.74 28,201 D  
Common Stock 05/07/2008   S   500 D $ 95.745 27,701 D  
Common Stock 05/07/2008   S   700 D $ 95.7475 27,001 D  
Common Stock 05/07/2008   S   4,660 D $ 95.75 22,341 D  
Common Stock 05/07/2008   S   2,000 D $ 95.76 20,341 D  
Common Stock 05/07/2008   S   200 D $ 95.765 20,141 D  
Common Stock 05/07/2008   S   100 D $ 95.7675 20,041 D  
Common Stock 05/07/2008   S   3,710 D $ 95.77 16,331 D  
Common Stock 05/07/2008   S   7,931 D $ 95.78 8,400 D  
Common Stock 05/07/2008   S   100 D $ 95.785 8,300 D  
Common Stock 05/07/2008   S   100 D $ 95.7875 8,200 D  
Common Stock 05/07/2008   S   3,700 D $ 95.79 4,500 D  
Common Stock 05/07/2008   S   3,200 D $ 95.8 1,300 D  
Common Stock 05/07/2008   S   1,100 D $ 95.81 200 D  
Common Stock 05/07/2008   S   200 D $ 95.83 0 D  
Common Stock               41,280 (2) I by 401(k) plan
Common Stock               4,892 I by Crowe Family Trust

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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
CROWE STEPHEN J
6001 BOLLINGER CANYON ROAD
SAN RAMON, CA 94583
      Vice Pres. and CFO  

Signatures

 Christopher A. Butner on behalf of Stephen J. Crowe   05/08/2008
**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) The Form 4 is four of four being filed to report transactions occurring on May 7, 2008.
(2) Between August 28, 2007 and May 7, 2008, the reporting person acquired 940 shares of Chevron Common Stock under the Chevron Employee Savings Investment Plan, a 401(k) plan.

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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