Exhibit 99.2


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 on Form 10-Q of Southwest
Airlines Co. (the "Company") for the period ended June 30, 2003 as filed with
the Securities and Exchange Commission on the date hereof (the "Report"), I,
Gary C. Kelly, Executive Vice President and Chief Financial Officer of the
Company, certify pursuant to 18 U.SS.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:  July 22, 2003                        By  /s/ Gary C. Kelly
                                                    Gary C. Kelly
                                                    Executive Vice President -
                                                    Chief Financial Officer




















A signed original of this written statement required by Section 906 has been
provided to Southwest Airlines Co. and will be retained by Southwest Airlines
Co. and furnished to the Securities and Exchhange Commission or its staff
upon request.



<Page>

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 on Form 10-Q of Southwest
Airlines Co. (the "Company") for the period ended June 30, 2003 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:  July 22, 2003                        By  /s/ James F. Parker
                                                    James F. Parker
                                                    Chief Executive Officer





















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