EXHIBIT 23.2
 
                       CONSENT OF INDEPENDENT ACCOUNTANTS
 
     We hereby consent to the incorporation by reference in the Registration
Statements of Millennium Chemicals Inc. on Form S-8 (No. 333-13143) pertaining
to the Quantum Chemical Retirement Savings & Investment Plan, (No. 333-13147)
pertaining to Quantum Chemical Retirement Savings & Investment Plan for Hourly
Represented Employees, and (No. 333-13717) pertaining to the Millennium
Chemicals Inc. Long Term Stock Incentive Plan of our reports dated (i) November
13, 1996 with respect to the consolidated financial statements of
Cornerstone-Spectrum, Inc. and (ii) November 7, 1995, except for Note 12, as to
which the date is July 2, 1996 with respect to the consolidated financial
statements of HMB Holdings, Inc. included in the Annual Report (Form 10-K) of
Millennium Chemicals Inc. for the year ended December 31, 1997.
 
                                          ERNST & YOUNG LLP
 
Hackensack, New Jersey
March 27, 1998