Exhibit 32.1


                        CERTIFICATION OF PERIODIC REPORT


I, John D. Finnegan, Chairman, President and Chief Executive Officer of The
Chubb Corporation (the "Corporation"), certify, pursuant to 18 U.S.C. Section
1350 adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

      (1)   the Quarterly Report on Form 10-Q of the Corporation for the
            quarterly period ended March 31, 2004 (the "Report") fully complies
            with the requirements of Section 13(a) or 15(d) of the Securities
            Exchange Act of 1934 (15 U.S.C. 78m or 78o(d)); and

      (2)   the information contained in the Report fairly presents, in all
            material respects, the financial condition and results of operations
            of the Corporation.


Dated: May 7, 2004



/s/ JOHN D. FINNEGAN
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John D. Finnegan
Chairman, President and Chief Executive Officer