LIMITED POWER OF ATTORNEY
                                      FOR
                           TERRENO REALTY CORPORATION
                             SECTION 16(a) FILINGS

    Know all by these presents, that the undersigned hereby revokes all previous
Powers of Attorney executed by the undersigned with respect to the matters set
forth below, and hereby constitutes and appoints each of W. Blake Baird, Michael
A. Coke and Jaime J. Cannon, signing singly, the undersigned's true and lawful
attorney-in-fact to:

    (1)   execute for and on behalf of the undersigned, in the undersigned's
          capacity as an officer, director and/or stockholder of Terreno Realty
          Corporation (the "Company"), Forms 3, 4, and 5 and amendments thereto
          in accordance with Section 16(a) of the Securities Exchange Act of
          1934, as amended, and the rules thereunder;

    (2)   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 or amendment thereto and timely file such form with
          the United States Securities and Exchange Commission (the "SEC") and
          any stock exchange or similar authority; and

    (3)   take any other action of any type whatsoever which, in the opinion of
          such attorney-in-fact, may be necessary or desirable in connection
          with the foregoing authority, 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.

	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 this Power of Attorney and the rights and powers herein
granted.  The undersigned acknowledges that the foregoing attorneys-in-fact, in
serving in such capacity at the request of the undersigned, are 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, and 5 with respect to the
undersigned's holdings of and transactions in securities of the Company, unless
earlier revoked by the undersigned in a signed writing delivered to the
foregoing attorneys-in-fact.  This Power of Attorney may be filed with the SEC
as a confirming statement of the authority granted herein.


	IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of this 29th day of August 2022.


                                            /S/ Gary N. Boston
                                            ------------------------

                                            Name: Gary N. Boston