EXHIBIT 31.1


                                  CERTIFICATION


I, G. Richard Wagoner, Jr., Chairman and Chief Executive Officer, certify
that:

1.  I have reviewed this quarterly report on Form 10-Q of General Motors
    Corporation;

2.  Based on my knowledge, this quarterly 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 quarterly report;

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

4.  The registrant's other certifying officers 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)) and internal
    control over financial reporting (as defined in Exchange Act Rules
    13a-15(f) and 15d-15(f)) for the registrant 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 registrant,
        including its consolidated subsidiaries, is made known to us by others
        within those entities, particularly during the period in which this
        quarterly report is being prepared;

    b)  designed such internal control over financial reporting, or caused such
        internal control over financial reporting to be designed under our
        supervision, to provide reasonable assurance regarding the reliability
        of financial reporting and the preparation of financial statements for
        external purposes in accordance with generally accepted accounting
        principles;

    c)  evaluated the effectiveness of the registrant'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

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

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

    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 registrant'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 registrant's
        internal control over financial reporting.


Date:  May 10, 2005

                              /s/ G. RICHARD WAGONER, JR.
                              ---------------------------
                              G. Richard Wagoner, Jr.
                              Chairman and Chief Executive Officer



                                       35