POWER OF ATTORNEY

	The undersigned hereby constitutes and appoints each of
LYDIA I. BEEBE, CHRISTOPHER A. BUTNER and KARI H. ENDRIES, signing singly, the
undersigned's true and lawful attorney-in-fact to:

	1.	Execute for and on behalf of the undersigned, in the undersigned's
capacity as an officer and/or director of Chevron Corporation, a
Delaware corporation (the "Corporation"), Forms 3, 4 and 5 in accordance with
Section 16(a) of the Securities Exchange Act of 1934, as amended (the
"Exchange Act") and the rules thereunder;

	2.	Do and perform any and all acts for and on behalf of the
undersigned which may be necessary or desirable to complete and execute any
such Form 3, 4 or 5 and timely file such form with the United States
Securities and Exchange Commission and any stock exchange or similar
authority; and

	3.	Take any other action of any type whatsoever in connection with
the foregoing which, in the opinion of such attorney-in-fact, may be of
benefit to, in the best interest of, or legally required by, the undersigned,
it being understood that the documents executed by such attorney-in-fact on
behalf of the undersigned pursuant to this Power of Attorney shall be in such
form and shall contain such terms and conditions as such attorney-in-fact may
approve in such attorney-in-fact's discretion.

	The undersigned hereby grants to each such attorney-in-fact full power
and authority to do and perform any and every act and thing whatsoever
requisite, necessary, or proper to be done in the exercise of any of the
rights and powers herein granted, as fully to all intents and purposes as the
undersigned might or could do if personally present, with full power of
substitution or revocation, hereby ratifying and confirming all that such
attorney-in-fact, or such attorney-in-fact's substitute or substitutes, shall
lawfully do or cause to be done by virtue of this power of attorney and the
rights and powers herein granted.  The undersigned acknowledges that the
foregoing attorneys-in-fact, in serving in such capacity at the request of the
undersigned, are not assuming, nor is the Corporation assuming, any of the
undersigned's responsibilities to comply with Section 16 of the
Exchange Act.

	This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4 and 5 with respect to the
undersigned's holdings of and transactions in securities issued by the
Corporation, unless earlier revoked by the undersigned in a signed writing
delivered to the foregoing attorneys-in-fact.

	IN WITNESS WHEREOF, the undersigned has hereunto set his or her hand
this 30th day of May, 2012.


/s/ CHARLES W. MOORMAN