POWER OF ATTORNEY
                  For Executing Forms 3, 4 and 5, Form 144 and
                       Schedules 13D and 13G relating to
                   Atlas Technical Consultants, Inc. (the "Company")

The undersigned hereby constitutes and appoints Bradford Twombly and L. Joe
Boyer, or any of them acting without the other, with full power of substitution,
as the undersigned's true and lawful attorney-in-fact to:

      (1)   execute for and on behalf of the undersigned (a) Forms 3, 4 and 5
(including amendments thereto) in accordance with Section 16(a) of the
Securities Exchange Act of 1934, as amended (the "Act"), and the rules
thereunder, (b) Form 144 and (c) Schedules 13D and 13G (including amendments
thereto) in accordance with Sections 13(d) and 13(g) of the Act and the rules
thereunder;

      (2)   do and perform any and all acts for and on behalf of the undersigned
that 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) and timely
file such Forms or Schedules with the Securities and Exchange Commission ("SEC")
and any stock exchange, self-regulatory association or any other authority;

      (3)   take any necessary or appropriate action to obtain or regenerate
codes and passwords enabling the undersigned to make electronic filings with the
SEC of reports required by Section 16(a) of the Act or any rule or regulation of
the SEC; and

      (4)   take any other action of any type whatsoever in connection with the
foregoing that, in the opinion of such attorney-in-fact, may be of benefit to,
in the best interest of, or legally required of the undersigned, it being
understood that the documents executed by the 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 the attorney-in-fact may approve in the
attorney-in-fact's discretion.

      The undersigned hereby grants to the attorney-in-fact full power and
authority to do and perform each 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 the attorney-in-fact substitute, shall
lawfully do or cause to be done by virtue of this Power of Attorney and the
rights and powers herein granted. The undersigned acknowledges that the
foregoing attorney-in-fact, and its substitute, 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 Act.

      The undersigned agrees that the attorney-in-fact may rely entirely on
information furnished orally or in writing by the undersigned to the attorney-
in-fact. The undersigned also agrees to indemnify and hold harmless the Company
and the attorney-in-fact against any losses, claims, damages or liabilities (or
actions in these respects) that arise out of or are based upon any untrue
statements or omissions of necessary facts in the information provided by the
undersigned to the attorney-in-fact for purposes of executing, acknowledging,
delivering or filing Form 3, 4 or 5, Form 144 or Schedule 13D or 13G (including
amendments thereto) and agrees to reimburse the Company and the attorney-in-fact
on demand for any legal or other expenses reasonably incurred in connection with
investigating or defending against any such loss, claim, damage, liability or
action.

      This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4 and 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. This Power of Attorney does not revoke any other
power of attorney that the undersigned has previously granted.

                          [Signature page follows.]

      IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of the date written below.

                                        /s/ Jeffrey Jenkins
                                        -------------------------------------
                                        Jeffrey Jenkins

                                        Date: February 19, 2020