Exhibit 32.1

                        CERTIFICATION OF PERIODIC REPORT
                        --------------------------------

I, John D. Finnegan, President and Chief Executive Officer of The Chubb
Corporation (the "Company"), 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 Company for the period ended
          September 30, 2003 (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 Company.

Dated:  November 14, 2003



                                        /s/ John D. Finnegan
                                        ----------------------------------------
                                        John D. Finnegan
                                        President and Chief Executive Officer