Exhibit 31.1

Certification of the Principal Executive Officer
Pursuant to 15 U.S.C. 78m(a) or 78o(d)
(Section 302 of the Sarbanes-Oxley Act of 2002)

I, Glenn F. Tilton, the Chairman, President and Chief Executive Officer of UAL Corporation (the "Company"), certify that:

                (1)        I have reviewed this quarterly report on Form 10-Q for the quarter ended September 30, 2004 of
                            the Company;

                (2)        Based on my knowledge, this report does not contain any untrue statement of a material fact or omit to
                            state a material fact necessary to make the statements made, in light of the circumstances under which
                            such statements were made, not misleading with respect to the period covered by this report;

                (3)        Based on my knowledge, the financial statements, and other financial information included in this
                            report, fairly present in all material respects the financial condition, results of operations and cash flows
                            of the Company as of, and for, the periods presented in this report;

                (4)        The Company's other certifying officer and I are responsible for establishing and maintaining disclosure
                            controls and procedures (as defined in Exchange Act Rules 13a-15(e) and 15d-15(e)) for the
                            Company and we have:

                            (a)        Designed such disclosure controls and procedures, or caused such disclosure controls and
                                        procedures to be designed under our supervision, to ensure that material information relating to
                                        the Company, including its consolidated subsidiaries, is made known to us by others within
                                        those entities, particularly during the period in which this report is being prepared;

                            (b)        Evaluated the effectiveness of the Company's disclosure controls and procedures and
                                        presented in this report our conclusions about the effectiveness of the disclosure controls and
                                        procedures, as of the end of the period covered by this report based on such evaluation; and

                            (c)        Disclosed in this report any change in the Company's internal control over financial reporting
                                        that occurred during the Company's most recent fiscal quarter that has materially affected, or is
                                        reasonably likely to materially affect, the Company's internal control over financial reporting;
                                        and

                (5)        The Company's other certifying officer and I have disclosed, based on our most recent evaluation of
                            internal control over financial reporting, to the Company's auditors and the audit committee of
                            Company's board of directors (or persons performing the equivalent functions):

                            (a)        All significant deficiencies and material weaknesses in the design or operation of internal control
                                       over financial reporting which are reasonably likely to adversely affect the Company's ability to
                                        record, process, summarize and report financial information; and

                            (b)        Any fraud, whether or not material, that involves management or other employees who have a
                                        significant role in the Company's internal control over financial reporting.

 
  /s/ Glenn F. Tilton
Glenn F. Tilton
UAL Corporation
Chairman, President and Chief Executive Officer

November 8, 2004