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Exhibit 32.1

THE TRAVELERS COMPANIES, INC.
CERTIFICATION OF CHIEF EXECUTIVE OFFICER
PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED
PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

        Pursuant to Rule 13a-14(b) of the Securities Exchange Act of 1934 (the "Exchange Act") and 18 U.S.C. Section 1350, the undersigned officer of The Travelers Companies, Inc. (the "Company") hereby certifies that the Company's Annual Report on Form 10-K for the year ended December 31, 2011 (the "Report") fully complies with the requirements of Section 13(a) or 15(d) of the Exchange Act and that the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Date: February 16, 2012 By: /s/ JAY S. FISHMAN
Name: Jay S. Fishman
Title: Chairman and Chief Executive Officer

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Exhibit 32.1

THE TRAVELERS COMPANIES, INC. CERTIFICATION OF CHIEF EXECUTIVE OFFICER PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002