EXHIBIT 99

                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 on Form 10-K of Southwest Airlines
Co. (the "Company") for the year ended December 31, 2002 as filed with the
Securities and Exchange Commission on the date hereof (the "Report"), I, James
F. Parker, Chief Executive Officer 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, as
                  amended; and

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



Date:    February 5, 2003                By:    /s/ James F. Parker
         -----------------                      -------------------------------
                                          Name:  James F. Parker
                                          Title: Chief Executive Officer







                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 on Form 10-K of Southwest Airlines
Co. (the "Company") for the year ended December 31, 2002 as filed with the
Securities and Exchange Commission on the date hereof (the "Report"), I, Gary C.
Kelly, Executive Vice President - Chief Financial Officer, 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, as
                  amended; and

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



Date:    February 5, 2003                    By:    /s/ Gary C. Kelly
         ---------------------                  --------------------------------
                                             Name:  Gary C. Kelly
                                             Title: Executive Vice President -
                                                    Chief Financial Officer