EXHIBIT 32.1

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 of Alaska Air Group, Inc. (the “Company”) on Form 10-Q for the period ended March 31, 2006 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, William S. Ayer, Chairman, President & 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.

By	/S/ William S. Ayer
William S. Ayer
Chairman, President & Chief Executive Officer
May 5, 2006