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 Annual Report of Paychex, Inc. (the "Company") on Form
10-K for the fiscal year ended May 31, 2003 as filed with the Securities and
Exchange Commission on the date hereof (the "Report"), I, JOHN M. MORPHY, 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 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.

Date: August 1, 2003

/s/ John M. Morphy

John M. Morphy
Senior Vice President, Chief Financial Officer, and Secretary