Exhibit 23.1

            Consent of Independent Registered Public Accounting Firm

The Board of Directors
Alaska Air Group, Inc.:

      We consent to the incorporation by reference in the Registration
Statements (Nos. 333-52265, 333-04835, 333-64998, 333-09547, 333-33727,
333-39899, 333-87563, 333-92252, 333-107177 and 333-117725) on Forms S-3 and S-8
of Alaska Air Group, Inc. of our reports dated February 22, 2005, with respect
to the consolidated balance sheet of Alaska Air Group, Inc. as of December 31,
2004, and the related consolidated statements of operations, shareholders'
equity and cash flows for the year then ended, and the related financial
statement schedule, management's assessment of the effectiveness of internal
control over financial reporting as of December 31, 2004 and the effectiveness
of internal control over financial reporting as of December 31, 2004, which
reports appear in the December 31, 2004, annual report on Form 10-K of Alaska
Air Group, Inc.

KPMG LLP

Seattle, Washington
February 22, 2005