Exhibit 24
                               POWER OF ATTORNEY
       For Executing Forms 3, 4 and 5, Form 144 and Schedules 13D and 13G

       Know all by these presents, that the undersigned hereby constitutes and
appoints each of Steven A. Fitzpatrick, Courtney C. Crouch, III, and Edwin J.
Lukas, signing singly, as the undersigned's true and lawful attorney-in-fact to:

       (1)    prepare, execute in the undersigned's name and on the
              undersigned's behalf, and submit to the United States Securities
              and Exchange Commission (the "SEC") a Form ID, including
              amendments thereto, and any other documents necessary or
              appropriate to obtain codes and passwords enabling the undersigned
              to make electronic filings with the SEC of reports required by
              Section 16(a) of the Securities Exchange Act of 1934, as amended,
              or any rule or regulation of the SEC; and

       (2)    execute for and on behalf of the undersigned, in the undersigned's
              capacity as a director of Universal Logistics Holdings, Inc. (the
              "Company"), (a) Forms 3, 4, and 5 (including amendments thereto)
              in accordance with Section 16(a) of the Securities Exchange Act of
              1934, as amended, and the rules thereunder (the "Exchange Act"),
              (b) Form 144, (c) Schedules 13D and 13G (including amendments
              thereto) in accordance with Sections 13(d) and 13(g) of the
              Exchange Act, and (d) any other forms on reports the undersigned
              may be required to file in connection with the undersigned's
              ownership, acquisition, or disposition of securities of the
              Company; and

       (3)    do and perform any and all acts for and on behalf of the
              undersigned which may be necessary or desirable to complete and
              execute any such Form 3, 4, or 5, Form 144 or Schedule 13D or 13G
              (including amendments thereto), or other form or report, and
              timely file such form or report with the SEC and any stock
              exchange or similar authority; and

       (4)    take any other action of any type whatsoever in connection with
              the foregoing which, in the opinion of such attorney-in-fact, may
              be of benefit to, in the best interest of, or legally required by,
              the undersigned, it being understood that the documents executed
              by such attorney-in-fact on behalf of the undersigned pursuant to
              this Power of Attorney shall be in such form and shall contain
              such  terms and conditions as such attorney-in-fact may approve in
              such attorney-in-fact's discretion.

       The undersigned hereby grants to each such attorney-in-fact full power
and authority to do and perform any and every act and thing whatsoever
requisite, necessary, or proper to be done in the exercise of any of the rights
and powers herein granted, as fully to all intents and purposes as the
undersigned might or could do if personally present, with full power of
substitution or revocation, hereby ratifying and confirming all that such
attorney-in-fact, or such attorney-in-fact's substitute or substitutes, shall
lawfully do or cause to be done by virtue of the power of attorney and the
rights and powers herein granted.  The undersigned acknowledges that the
foregoing attorney-in-fact, in serving in such capacity at the request of the
undersigned, is not assuming, nor is the Company assuming, any of the
undersigned's responsibilities to comply with Section 16 of the Securities
Exchange Act of 1934.

       This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4, or 5, Form 144 and
Schedules 13D and 13G (including amendments thereto) with respect to the
undersigned's holdings of and transactions in securities issued by the Company,
unless earlier revoked by the undersigned in a signed writing delivered to the
foregoing attorney-in-fact.

       IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of this 30th day of April, 2020.


                                              /s/ Matthew J. Moroun
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                                                    Signature

                                                Matthew J. Moroun
                                         -------------------------------
                                                   Printed Name