Exhibit 32 SECTION 1350 CERTIFICATIONS

We certify, to the best of our knowledge, based upon a review of the Form 10-Q Quarterly Report for the quarterly period ended June 30, 2004 of T. Rowe Price Group, Inc., that:

(1) The Form 10-Q Quarterly Report fully complies with the requirements of Section 13(a) of the Securities Exchange Act of 1934, as amended; and

(2) The information contained and incorporated by reference in the Form 10-Q Quarterly Report fairly presents, in all material respects, the financial condition and results of operations of T. Rowe Price Group, Inc.

July 26, 2004

/s/ George A. Roche, Principal Executive Officer

/s/ Kenneth V. Moreland, Principal Financial Officer

A signed original of this written statement has been provided to T. Rowe Price Group, Inc. and will be retained by T. Rowe Price Group, Inc. and furnished to the Securities and Exchange Commission or its staff upon request.