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  Capital   Southwest
Corporation (the "Company") on Form 10-Q for the quarter ended December 31, 2003
as filed with the  Securities  and Exchange  Commission  on the date hereof (the
"Report"),  I,  William R.  Thomas,  President  and Chairman of the Board 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  consolidated  financial  condition  and results of
operations of the Company.




Date:  February 13, 2004                         By: /s/ William R. Thomas
       -----------------------                      ----------------------------
                                                    William R. Thomas, President
                                                    and Chairman of the Board