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	12000	$61.86	Disposed	140494	Direct
2006-05-03	Common Stock	S	24900	$61.85	Disposed	115594	Direct
2006-05-03	Common Stock	S	17700	$61.84	Disposed	97894	Direct
2006-05-03	Common Stock	S	400	$61.83	Disposed	97494	Direct
2006-05-03	Common Stock	S	1200	$61.82	Disposed	96294	Direct
2006-05-03	Common Stock	S	300	$61.81	Disposed	95994	Direct
2006-05-03	Common Stock	S	10400	$61.8	Disposed	85594	Direct
2006-05-03	Common Stock	S	5100	$61.79	Disposed	80494	Direct
2006-05-03	Common Stock	S	5900	$61.78	Disposed	74594	Direct
2006-05-03	Common Stock	S	3800	$61.77	Disposed	70794	Direct
2006-05-03	Common Stock	S	400	$61.76	Disposed	70394	Direct
2006-05-03	Common Stock	S	45400	$61.75	Disposed	24994	Direct

Holdings (Non-Derivative)

Security	Shares	Ownership
Common Stock	65522	Indirect

Footnotes

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