POWER OF ATTORNEY

      Know all by these presents, that the undersigned, H. Leighton Steward,
hereby constitutes and appoints each of Patricia L. Edwards, Michele L.
Hatz, Hollie M. Downs, Teresa Kaplan and Vicky Strom, signing and/or acting
singly, as 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 a director of EOG Resources, Inc. (the "Company"), 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 and regulations
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, complete and execute any amendment or amendments thereto, and timely
file such form with the United States Securities and Exchange Commission and
any stock exchange or other authority as may be required under applicable
law; and

(3) take any other action of any type whatsoever and execute any other
document of any type whatsoever, in each case in connection with the
foregoing and which, in the opinion of such attorney-in-fact, may be of
benefit to, in the best interest of, or legally required of, 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 Company 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
Company, unless earlier revoked by the undersigned in a signed writing.  This
Power of Attorney shall be deemed to supersede and replace in its entirety,
and to revoke all authority granted by, any power of attorney granted by the
undersigned prior to the date hereof with respect to the subject matter hereof,
effective as of the date hereof.

      IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney
to be executed as of this 11th day of December, 2012.


Signature: /s/ H. Leighton Steward

Print Name: H. Leighton Steward