Exhibit 99.1


                            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 Kronos  International,  Inc. (the
Company)  on Form 10-Q for the  period  ended  March 31,  2003 as filed with the
Securities  and  Exchange  Commission  on the date hereof (the  Report),  I, Dr.
Lawrence A. Wigdor , Chief Executive 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(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  results  of  operations  of the
      Company.




/s/   Dr. Lawrence A. Wigdor
- ------------------------------------------
      Dr. Lawrence A. Wigdor
      Chief Executive Officer

May 9, 2003

A signed  original of this  written  statement  required by Section 906 has been
provided  to  Kronos  International,   Inc,  and  will  be  retained  by  Kronos
International,  Inc. and furnished to the Securities and Exchange  Commission or
its staff upon request.