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  period  ended  June  30,  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 Officer
August 11, 2003                         and Treasurer
                                        August 11, 2003



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.