Southwest Airlines (LUV) 10-K 2004 FY Annual report

Exhibit 23

CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We consent to the incorporation by reference in the Registration Statements (Forms S-8 Nos. 33-20275, 33-48178, 33-57327, 33-40652, 33-40653, 333-64431, 333-67627, 333-67631, 333-82735, 333-89303, 333-46560, 333-52388, 333-52390, 333-53610, 333-53616, 333-57478, 333-98761, 333-100862, 333-104245, 333-117802 and Forms S-3 Nos. 333-29257, 333-71392, and 333-100861) of Southwest Airlines Co. and in the related Prospectuses of our reports dated February 2, 2005, and with respect to the consolidated financial statements of Southwest Airlines Co., Southwest Airlines Co. management’s assessment of the effectiveness of internal control over financial reporting, and the effectiveness of internal control over financial reporting of Southwest Airlines Co., included in this Annual Report (Form 10-K) for the year ended December 31, 2004.

Dallas, Texas
February 2, 2005