DIRECTOR
POWER OF ATTORNEY

Know all by these presents, that the undersigned hereby constitutes and
appoints each of Bruce A. Backberg, Kenneth F. Spence, III, Matthew S.
Furman and Wendy Skjerven, signing individually, the undersigned's true
and lawful attorney-in-fact to:

(1) execute for and on behalf of the undersigned, a Form ID Application
and submit the same to the United States Securities and Exchange Commission;

(2) execute for and on behalf of the undersigned, in the undersigned's
capacity as a director of The Travelers Companies, Inc. (the "Company"),
Forms 3, 4 and 5 in accordance with Section 16(a) of the Securities
Exchange Act of 1934 and the Sarbanes-Oxley Act of 2002, as amended,
and the rules thereunder;

(3) execute for and on behalf of the undersigned, in the undersigned's
capacity as a director of the Company, Form 144 in accordance with the
Securities Act of 1933 and the rules thereunder;

(4) do and perform any and all acts for and on behalf of the undersigned
which may be necessary or desirable to complete and execute any such
Forms 3, 4, 5 and 144 and timely file such form with the United States
Securities and Exchange Commission and any stock exchange or similar
authority; and

(5) take any other action of any type whatsoever in connection with the
foregoing which, in the opinion of such attorney-in-fact, may be of
benefit to, in the best interest of, or legally required by, the undersigned,
it being understood that the documents executed by such attorney-in-fact
on behalf of the undersigned pursuant to this Power of Attorney shall be
in such form and shall contain such terms and conditions as such
attorney-in-fact may approve in such attorney-in-fact's discretion.

The undersigned hereby grants to each such attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever
requisite, necessary, or proper to be done in the exercise of any of the
rights and powers herein granted, as fully to all intents and purposes
as the undersigned might or could do if personally present, with full
power of substitution or revocation, hereby ratifying and confirming
all that such attorney-in-fact, or such attorney-in-fact's substitute
or substitutes, shall lawfully do or cause to be done by virtue of this
power of attorney and the rights and powers herein granted.  The
undersigned acknowledges that the foregoing attorneys-in-fact, in serving
in such capacity at the request of the undersigned, are not assuming, nor
is the Company assuming, any of the undersigned's responsibilities to
comply with the Securities Exchange Act of 1934, the Securities Act of
1933 and the Sarbanes-Oxley Act of 2002.

This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4, 5 and 144 with respect
to the undersigned's holdings of and transactions in securities issued by
the Company, unless earlier revoked by the undersigned in a signed writing
delivered to the foregoing attorneys-in-fact.

IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of this 7th day of May, 2008.

Signature:  /s/John H. Dasburg
Printed Name:  John H. Dasburg