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 Valhi, Inc. (the "Company") on Form 10-K
for the year ended  December 31, 2003 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
March 10, 2004                              Officer and Treasurer
                                            March 10, 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.