RenaissanceRe (RNR) 10-Q 2005 Q3 Quarterly report

                                                                    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 Quarterly Report of RenaissanceRe Holdings Ltd.
(the "Company") on Form 10-Q for the period ending September 30, 2005, as filed
with the Securities and Exchange Commission on the date hereof (the "Report"),
I, Neill A. Currie, 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/ Neill A. Currie
- ----------------------
Neill A. Currie
Chief Executive Officer
November 9, 2005