EXHIBIT 32.1

                                  AMSURG CORP.
                            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 AmSurg Corp. (the "Company") on Form
10-K for the period ending December 31, 2003, as filed with the Securities and
Exchange Commission on the date hereof (the "Report"), each of the undersigned
certifies, 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/ Ken P. McDonald
                                 ---------------------------------
                                 Ken P. McDonald
                                 President and Chief Executive
                                 Officer of the Company

                                 March 12, 2004

                                 /s/ Claire M. Gulmi
                                 --------------------------------
                                 Claire M. Gulmi
                                 Senior Vice President and
                                 Chief Financial
                                 Officer of the Company

                                 March 12, 2004