CERTIFICATION OF CEO AND CFO
Published on February 5, 2019
Exhibit 32
 
 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 period ended December 31, 2018, as filed with the Securities and Exchange Commission (the “Report”), Gary C. Kelly, Chairman of the Board & Chief Executive Officer of the Company, and Tammy Romo, Senior Vice President Finance & Chief Financial Officer of the Company, each 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, 2019
| By: | /s/ Gary C. Kelly | |
| Gary C. Kelly | ||
| Chairman of the Board & Chief Executive Officer  (Principal Executive Officer) | ||
| By: | /s/ Tammy Romo | |
| Tammy Romo | ||
| Executive Vice President & Chief Financial Officer (Principal Financial & Accounting Officer) | ||