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 Quarterly Report of Millennium Chemicals Inc. (the
"Company") on Form 10-Q for the period ending March 31, 2004 as filed with the
Securities and Exchange Commission on the date hereof (the "Report"), I, John E.
Lushefski, Executive Vice President and Chief Financial Officer of the Company,
certify, pursuant to 18 U.S.C. 'SS' 1350, as adopted pursuant to 'SS' 906
of the Sarbanes-Oxley Act of 2002, that:

     (1) The Report fully complies with the requirements of Section 13 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.

Date: May 14, 2004


                                        /s/ JOHN E. LUSHEFSKI
                                        ----------------------------------------
                                        John E. Lushefski
                                        Executive Vice President and
                                        Chief Financial Officer

This certification, which is required by Section 906 of the Sarbanes-Oxley Act
of 2002, is "furnished" to the Securities and Exchange Commission in accordance
with Item 601(b)(32)(ii) of Regulation S-K, 17 CFR 229.601(b)(32)(ii).