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 Quarterly  Report of Valhi,  Inc. (the "Company") on Form
10-Q for the quarter ended  September 30, 2004 as filed with the  Securities and
Exchange  Commission  on the date hereof (the  "Report"),  we, Steven L. Watson,
President and Chief Executive Officer of the Company, and Bobby D. O'Brien, Vice
President,  Chief  Financial  Officer and  Treasurer  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; and

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




/s/  Steven L. Watson                      /s/  Bobby D. O'Brien
- -------------------------------------           ---------------------
Steven L. Watson                                Bobby D. O'Brien
President and Chief Executive Officer           Vice President, Chief Financial
November 8, 2004                                Officer and Treasurer
                                                November 8, 2004



Note:The  certification  the registrant  furnishes in this exhibit is not deemed
     "filed" for purposes of Section 18 of the Securities  Exchange Act of 1934,
     as  amended,  or  otherwise  subject to the  liabilities  of that  Section.
     Registration  Statements or other  documents  filed with the Securities and
     Exchange Commission shall not incorporate this exhibit by reference, except
     as otherwise expressly stated in such filing.