Chevron (CVX) 10-Q 2004 Q2 Quarterly report

Exhibit 32.2

CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350

     In connection with the Quarterly Report of ChevronTexaco Corporation (the “Company”) on Form 10-Q for the period ended June 30, 2004, as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, John S. Watson, Vice President, Finance and Chief Financial Officer of the Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that, to my knowledge:

     (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.

/s/ JOHN S. WATSON

John S. Watson

Vice President, Finance and

Chief Financial Officer

Dated: August 4, 2004

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