EXHIBIT 32.1

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

In connection with the Quarterly Report of Intergraph Corporation (the
"Company") on Form 10-Q/A for the quarter ended March 31, 2004, as filed with
the Securities and Exchange Commission on the date hereof (the "Report"), I, R.
Halsey Wise, President and Chief Executive Officer of the Company, certify,
pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (18 U.S.C. Section
1350), 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.

                                  By:    /s/ R. Halsey Wise
                                         -------------------------------------
                                  Name:  R. Halsey Wise
                                  Title: President and Chief Executive Officer
                                  Date:  November 8, 2004

[A signed original of this written statement required by Section 906 has been
provided to Intergraph Corporation and will be retained by Intergraph
Corporation and furnished to the Securities and Exchange Commission or its staff
upon request.]