Brown Tom 10-K 2003 FY Annual report

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Exhibit 32.1

CERTIFICATION PURSUANT TO
18 U.S.C. SECTION 1350,
AS ADOPTED PURSUANT TO
SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

        In connection with the Annual Report of Tom Brown, Inc. (the "Company") on Form 10-K for the year ended December 31, 2003 as filed with the Securities and Exchange Commission on the date hereof (the "Report"), I, James D. Lightner, Chairman, Chief Executive Officer and President of the Company, certify, pursuant to 18 U.S.C. §1350, as adopted pursuant to §906 of the Sarbanes-Oxley Act of 2002, that to my knowledge based upon a review of the report:

(1)

The Report fully complies with the requirements of section 13(a) or 15(d) of the Securities Exchange Act of 1934; and



(2)

The information contained in the Report fairly presents, in all material respects, the financial condition and result of operations of the Company as of the dates and for the periods presented as required by such report.

/s/  JAMES D. LIGHTNER      James D. Lightner
Chairman, Chief Executive Officer and President
March 15, 2004

        This certification is provided pursuant to §§ 906 of the Sarbanes-Oxley Act of 2002 and shall not, except to the extent required by the Sarbanes-Oxley Act of 2002, be deemed filed by Tom Brown, Inc. or the certifying officer for purposes of §§ 18 of the Securities Exchange Act of 1934, as amended.

        A signed original of this written statement required by §§ 906 has been provided to Tom Brown, Inc. and will be retained by it and furnished to the Securities and Exchange Commission or its staff upon request.

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CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002