EXHIBIT 99.1 CERTIFICATIONS

Published on October 30, 2002

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 on Form 10-Q of Southwest Airlines
Co. (the "Company") for the period ended September 30, 2002 as filed with the
Securities and Exchange Commission on the date hereof (the "Report"), I, Gary C.
Kelly, Executive Vice President and 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: October 30, 2002 By

/s/ Gary C. Kelly

Gary C. Kelly
Executive Vice President - Chief
Financial 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 Quarterly Report on Form 10-Q of Southwest Airlines
Co. (the "Company") for the period ended September 30, 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: October 30, 2002 By

/s/ James F. Parker

James F. Parker
Chief Executive Officer
























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