SEC Form 4

FORM 4		UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940	OMB APPROVAL OMB Number: 3235-0287 Estimated average burden hours per response: 0.5
	Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

1. Name and Address of Reporting Person* O REILLY DAVID J (Last) (First) (Middle) 6001 BOLLINGER CANYON ROAD (Street) SAN RAMON CA 94583 (City) (State) (Zip)	2. Issuer Name and Ticker or Trading Symbol CHEVRON CORP [ CVX ]	5. Relationship of Reporting Person(s) to Issuer (Check all applicable) X Director 10% Owner X Officer (give title below) Other (specify below) Chairman of the Board and CEO
	3. Date of Earliest Transaction (Month/Day/Year) 05/03/2006
	4. If Amendment, Date of 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

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	05/03/2006		M		70,000(1)	A	$40.4688	94,994(2)	D
Common Stock	05/03/2006		M		117,200	A	$39.5625	212,194	D
Common Stock	05/03/2006		M		300,000	A	$44.9375	512,194	D
Common Stock	05/03/2006		S		1,000	D	$62.69	511,194	D
Common Stock	05/03/2006		S		7,000	D	$62.68	504,194	D
Common Stock	05/03/2006		S		8,800	D	$62.67	495,394	D
Common Stock	05/03/2006		S		1,100	D	$62.66	494,294	D
Common Stock	05/03/2006		S		1,000	D	$62.65	493,294	D
Common Stock	05/03/2006		S		2,200	D	$62.55	491,094	D
Common Stock	05/03/2006		S		1,000	D	$62.54	490,094	D
Common Stock	05/03/2006		S		29,600	D	$62.53	460,494	D
Common Stock	05/03/2006		S		1,300	D	$62.5	459,194	D
Common Stock	05/03/2006		S		800	D	$62.49	458,394	D
Common Stock	05/03/2006		S		16,200	D	$62.48	442,194	D
Common Stock	05/03/2006		S		16,300	D	$62.48	425,894	D
Common Stock	05/03/2006		S		2,300	D	$62.47	423,594	D
Common Stock	05/03/2006		S		2,100	D	$62.46	421,494	D
Common Stock	05/03/2006		S		5,300	D	$62.45	416,194	D
Common Stock	05/03/2006		S		1,700	D	$62.44	414,494	D
Common Stock	05/03/2006		S		2,700	D	$62.43	411,794	D
Common Stock	05/03/2006		S		4,000	D	$62.42	407,794	D
Common Stock	05/03/2006		S		2,000	D	$62.41	405,794	D
Common Stock	05/03/2006		S		2,700	D	$62.4	403,094	D
Common Stock	05/03/2006		S		700	D	$62.39	402,394	D
Common Stock	05/03/2006		S		300	D	$62.38	402,094	D
Common Stock								65,522(3)	I	by 401(k) plan

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 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: 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
Non-Qualified Stock Option (Right to Buy)	$40.4688(4)	05/03/2006		M			70,000(4)	10/29/1998	10/29/2007	Common Stock	70,000(4)	$0	0	D
Non-Qualified Stock Option (Right to Buy)	$39.5625(4)	05/03/2006		M			117,200(4)	10/27/1999	10/27/2008	Common Stock	117,200(4)	$0	0	D
Non-Qualified Stock Option (Right to Buy)	$44.9375(4)	05/03/2006		M			300,000(4)	10/27/2000	10/27/2009	Common Stock	300,000(4)	$0	0	D

Explanation of Responses:

1. The Form 4 is one of three being filed to report transactions occurring on May 3, 2006.

2. This number includes the acquisition of 12,497 shares from the September 10, 2004, 2-for-1 stock split of Chevron Corporation common stock.

3. Between August 7, 2004 and May 2, 2006, the reporting person acquired 35,031 shares of Chevron Corporation common stock under the Chevron Employee Savings Investment Plan, a 401(k) plan. This number includes the September 10, 2004, 2-for-1 stock split.

4. The option exercise price and number of shares are adjusted for the September 10, 2004, 2-for-1 stock split of Chevron Corporation common stock.

	Christopher A. Butner on behalf of David J. O'Reilly	05/05/2006
	** 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 Number.