Jacobs Engineering (J) 10-Q 2004 Q2 Quarterly report

EXHIBIT 32.1

CERTIFICATION OF CHIEF EXECUTIVE OFFICER

Pursuant to 18 U.S.C. Section 1350

Adopted Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002

In connection with the Quarterly Report on Form 10-Q of Jacobs Engineering Group Inc. (the “Company”) for the period ended March 31, 2004 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Noel G. Watson, Chief Executive 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: (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 results of operations of the Company.

/s/    NOEL G. WATSON        

Noel G. Watson

Chief Executive Officer

May 13, 2004