EXHIBIT 32.1


                            CERTIFICATION PURSUANT TO
                             18 U.S.C. SECTION 1350
                             AS ADOPTED PURSUANT TO
                  SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002


         I, Joseph M. Tucci, President and Chief Executive Officer of EMC
Corporation (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, to my
knowledge:

         (1)      The Company's Annual Report on Form 10-K for the fiscal year
                  ended December 31, 2003, as filed with the Securities and
                  Exchange Commission on the date hereof (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/ Joseph M. Tucci
                                       -------------------------------------
                                       Joseph M. Tucci
                                       President and Chief Executive Officer

                                       March 2, 2004







This certification accompanies this Report pursuant to Section 906 of the
Sarbanes-Oxley Act of 2002 and shall not be deemed filed by the Company for
purposes of Section 18 of the Securities Exchange Act of 1934, as amended, or
otherwise subject to liability under that section. This certification shall not
be deemed incorporated by reference in any filing under the Securities Act or
Exchange Act, except to the extent that the Company specifically incorporates it
by reference.