EXHIBIT 32.1

          CERTIFICATION PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY
                      ACT OF 2002 (18 U.S.C. SECTION 1350)

      The undersigned, as the President and Chief Executive Officer of Allied
Holdings, Inc., certifies that, to the best of his knowledge and belief, the
Quarterly Report on Form 10-Q for the quarter ended March 31, 2004, which
accompanies this certification fully complies with the requirements of Section
13(a) of the Securities Exchange Act of 1934 and the information contained in
the periodic report fairly presents, in all material respects, the financial
condition and results of operations of Allied Holdings, Inc. at the dates and
for the periods indicated. The foregoing certification is made pursuant to
Section 906 of the Sarbanes-Oxley Act of 2002 (18 U.S.C. Section 1350) and shall
not be relied upon for any other purpose.

      This 17th day of May, 2004.

                                           /s/ Hugh E. Sawyer
                                    -------------------------------------
                                               Hugh E. Sawyer
                                    President and Chief Executive Officer

A signed original of this written statement required by Section 906, or other
document authenticating, acknowledging, or otherwise adopting the signature that
appears in typed from within the electronic version of this written statement
required by Section 906, has been provided to Allied Holdings, Inc. and will be
retained by Allied Holdings, Inc. and furnished to the Securities and Exchange
Commission or its staff upon request.

The information in this Exhibit 32.1 shall not be deemed "filed" for purposes of
Section 18 of the Securities Exchange Act of 1934, as amended, nor shall it be
deemed incorporated by reference in any filing under the Securities Act of 1933,
except as shall be expressly set forth by specific reference in such filing.

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