CHEVRON CORP — Director's Dealing 2006

May 5, 2006

SEC Form 4 — Statement of Changes in Beneficial Ownership

Issuer: CHEVRON CORP (CVX)
CIK: 0000093410
Period of Report: 2006-05-03

Reporting Person: O REILLY DAVID J (Director, Chairman of the Board and CEO)

Non-Derivative Transactions

Date	Security	Code	Shares	Price	A/D	Holdings After	Ownership
2006-05-03	Common Stock	S	2400	$62.37	Disposed	399694	Direct
2006-05-03	Common Stock	S	5800	$62.36	Disposed	393894	Direct
2006-05-03	Common Stock	S	21000	$62.35	Disposed	372894	Direct
2006-05-03	Common Stock	S	3100	$62.34	Disposed	369794	Direct
2006-05-03	Common Stock	S	7300	$62.33	Disposed	362494	Direct
2006-05-03	Common Stock	S	6000	$62.32	Disposed	356494	Direct
2006-05-03	Common Stock	S	11800	$62.31	Disposed	344694	Direct
2006-05-03	Common Stock	S	19700	$62.3	Disposed	324994	Direct
2006-05-03	Common Stock	S	22700	$62.3	Disposed	302294	Direct
2006-05-03	Common Stock	S	1400	$62.29	Disposed	300894	Direct
2006-05-03	Common Stock	S	6400	$62.28	Disposed	294494	Direct
2006-05-03	Common Stock	S	11600	$62.27	Disposed	282894	Direct
2006-05-03	Common Stock	S	10000	$62.26	Disposed	272894	Direct
2006-05-03	Common Stock	S	17800	$62.25	Disposed	255094	Direct
2006-05-03	Common Stock	S	11200	$62	Disposed	243894	Direct
2006-05-03	Common Stock	S	6700	$61.99	Disposed	237194	Direct
2006-05-03	Common Stock	S	1000	$61.98	Disposed	236194	Direct
2006-05-03	Common Stock	S	2700	$61.97	Disposed	233494	Direct
2006-05-03	Common Stock	S	900	$61.96	Disposed	232594	Direct
2006-05-03	Common Stock	S	900	$61.95	Disposed	231694	Direct
2006-05-03	Common Stock	S	1400	$61.94	Disposed	230294	Direct
2006-05-03	Common Stock	S	9100	$61.93	Disposed	221194	Direct
2006-05-03	Common Stock	S	5700	$61.92	Disposed	215494	Direct
2006-05-03	Common Stock	S	5300	$61.91	Disposed	210194	Direct
2006-05-03	Common Stock	S	19200	$61.9	Disposed	190994	Direct
2006-05-03	Common Stock	S	7700	$61.89	Disposed	183294	Direct
2006-05-03	Common Stock	S	25400	$61.88	Disposed	157894	Direct
2006-05-03	Common Stock	S	5400	$61.87	Disposed	152494	Direct

Holdings (Non-Derivative)

Security	Shares	Ownership
Common Stock	65522	Indirect

Footnotes

F1: The Form 4 is two of three being filed to report transactions occurring on May 3, 2006.