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


      In connection with the Annual Report of Lexmark International, Inc. (the
"Company") on Form 10-K for the period ending December 31, 2004 as filed with
the Securities and Exchange Commission on the date hereof (the "Report"), I,
Paul J. Curlander, Chairman and Chief Executive 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 (15 U.S.C. 78m or 78o(d)); and

      (2) The information contained in the Report fairly presents, in all
material respects, the financial condition and results of operations of the
Company.

Dated:  March 9, 2005

                                           /s/ Paul J. Curlander
                                           ------------------------------------
                                           Paul J. Curlander
                                           Chairman and Chief Executive Officer

A signed original of this written statement required by Section 906, or other
document authenticating acknowledging, or otherwise adopting the signature that
appears in typed form within the electronic version of this written statement
required by Section 906, has been provided to the Company and will be retained
by the Company and furnished to the Securities and Exchange Commission or its
staff upon request.