Exhibit 32.2

                            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 H&R Block, Inc. (the "Company")
on Form 10-Q for the period ending October 31, 2004 as filed with the Securities
and Exchange Commission on the date hereof (the "Report"), I, William L.
Trubeck, Chief Financial 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/ William L. Trubeck
                                                --------------------------------
                                                William L. Trubeck
                                                Chief Financial Officer
                                                H&R Block, Inc.
                                                December 8, 2004