EXHIBIT 24

                                 June 22, 2020

                               POWER OF ATTORNEY

        KNOW ALL BY THESE PRESENTS, that the undersigned hereby constitutes and
appoints each of R. Eric Emrich and Michael Trachtenberg, signing singly, the
undersigned's true and lawful attorney-in-fact to: (i) execute for and on behalf
of the undersigned, in the undersigned's capacity as an officer and/or director
and/or owner of greater than 10% of the outstanding Common Stock of Albertsons
Companies, Inc., a Delaware corporation (the "Company"), Forms 3, 4 and 5
(including any amendments, supplements or exhibits thereto) in accordance with
Section 16(a) of the Securities Exchange Act of 1934, as amended (the "Exchange
Act"), and the rules thereunder, as well as a Schedule 13D or Schedule 13G in
accordance with Section 13(d) of the Exchange Act and the rules thereunder and
any amendments thereto; (ii) 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 and Schedule 13D or 13G (including any amendments,
supplements or exhibits thereto) and timely file such forms with the United
States Securities and Exchange Commission and any stock exchange or similar
authority, including the New York Stock Exchange; and (iii) 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 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 or Section 13 of the
Exchange Act.

        This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file reports or schedules under Section 16
and Section 13(d) of the Exchange Act 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 attorneys-in-
fact.

                 [Remainder of page intentionally left blank.]

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

                                        LUBERT-ADLER GROUP VI-B, LLC

                                        By:  /s/ Gerald A. Ronon
                                             -----------------------------------
                                        Name: Gerald A. Ronon
                                        Title: Managing Partner & President



                                                                      EXHIBIT 24

                                 June 22, 2020

                               POWER OF ATTORNEY

        KNOW ALL BY THESE PRESENTS, that the undersigned hereby constitutes and
appoints each of R. Eric Emrich and Michael Trachtenberg, signing singly, the
undersigned's true and lawful attorney-in-fact to: (i) execute for and on behalf
of the undersigned, in the undersigned's capacity as an officer and/or director
and/or owner of greater than 10% of the outstanding Common Stock of Albertsons
Companies, Inc., a Delaware corporation (the "Company"), Forms 3, 4 and 5
(including any amendments, supplements or exhibits thereto) in accordance with
Section 16(a) of the Securities Exchange Act of 1934, as amended (the "Exchange
Act"), and the rules thereunder, as well as a Schedule 13D or Schedule 13G in
accordance with Section 13(d) of the Exchange Act and the rules thereunder and
any amendments thereto; (ii) 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 and Schedule 13D or 13G (including any amendments,
supplements or exhibits thereto) and timely file such forms with the United
States Securities and Exchange Commission and any stock exchange or similar
authority, including the New York Stock Exchange; and (iii) 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 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 or Section 13 of the
Exchange Act.

        This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file reports or schedules under Section 16
and Section 13(d) of the Exchange Act 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 attorneys-in-
fact.

                 [Remainder of page intentionally left blank.]

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

                                        L-A SATURN ACQUISITION, L.P.

                                        By: L-A Group Saturn, LLC,
                                        its general partner

                                        By:  /s/ Gerald A. Ronon
                                             -----------------------------------
                                        Name: Gerald A. Ronon
                                        Title: Managing Partner & President



                                                                      EXHIBIT 24

                                 June 22, 2020

                               POWER OF ATTORNEY

        KNOW ALL BY THESE PRESENTS, that the undersigned hereby constitutes and
appoints each of R. Eric Emrich and Michael Trachtenberg, signing singly, the
undersigned's true and lawful attorney-in-fact to: (i) execute for and on behalf
of the undersigned, in the undersigned's capacity as an officer and/or director
and/or owner of greater than 10% of the outstanding Common Stock of Albertsons
Companies, Inc., a Delaware corporation (the "Company"), Forms 3, 4 and 5
(including any amendments, supplements or exhibits thereto) in accordance with
Section 16(a) of the Securities Exchange Act of 1934, as amended (the "Exchange
Act"), and the rules thereunder, as well as a Schedule 13D or Schedule 13G in
accordance with Section 13(d) of the Exchange Act and the rules thereunder and
any amendments thereto; (ii) 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 and Schedule 13D or 13G (including any amendments,
supplements or exhibits thereto) and timely file such forms with the United
States Securities and Exchange Commission and any stock exchange or similar
authority, including the New York Stock Exchange; and (iii) 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 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 or Section 13 of the
Exchange Act.

        This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file reports or schedules under Section 16
and Section 13(d) of the Exchange Act 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 attorneys-in-
fact.

                 [Remainder of page intentionally left blank.]

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

                                        L-A GROUP SATURN, LLC

                                        By:  /s/ Gerald A. Ronon
                                             -----------------------------------
                                        Name: Gerald A. Ronon
                                        Title: Managing Partner & President



                                                                      EXHIBIT 24

                                 June 22, 2020

                               POWER OF ATTORNEY

        KNOW ALL BY THESE PRESENTS, that the undersigned hereby constitutes and
appoints each of R. Eric Emrich and Michael Trachtenberg, signing singly, the
undersigned's true and lawful attorney-in-fact to: (i) execute for and on behalf
of the undersigned, in the undersigned's capacity as an officer and/or director
and/or owner of greater than 10% of the outstanding Common Stock of Albertsons
Companies, Inc., a Delaware corporation (the "Company"), Forms 3, 4 and 5
(including any amendments, supplements or exhibits thereto) in accordance with
Section 16(a) of the Securities Exchange Act of 1934, as amended (the "Exchange
Act"), and the rules thereunder, as well as a Schedule 13D or Schedule 13G in
accordance with Section 13(d) of the Exchange Act and the rules thereunder and
any amendments thereto; (ii) 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 and Schedule 13D or 13G (including any amendments,
supplements or exhibits thereto) and timely file such forms with the United
States Securities and Exchange Commission and any stock exchange or similar
authority, including the New York Stock Exchange; and (iii) 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 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 or Section 13 of the
Exchange Act.

        This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file reports or schedules under Section 16
and Section 13(d) of the Exchange Act 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 attorneys-in-
fact.

                 [Remainder of page intentionally left blank.]

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

                                        L-A ASSET MANAGEMENT
                                        SERVICES, L.P.

                                        By: Lubert-Adler GP - West, LLC,
                                        its General Partner

                                        By:  /s/ Gerald A. Ronon
                                             -----------------------------------
                                        Name: Gerald A. Ronon
                                        Title: Managing Partner & President



                                                                      EXHIBIT 24

                                 June 22, 2020

                               POWER OF ATTORNEY

        KNOW ALL BY THESE PRESENTS, that the undersigned hereby constitutes and
appoints each of R. Eric Emrich and Michael Trachtenberg, signing singly, the
undersigned's true and lawful attorney-in-fact to: (i) execute for and on behalf
of the undersigned, in the undersigned's capacity as an officer and/or director
and/or owner of greater than 10% of the outstanding Common Stock of Albertsons
Companies, Inc., a Delaware corporation (the "Company"), Forms 3, 4 and 5
(including any amendments, supplements or exhibits thereto) in accordance with
Section 16(a) of the Securities Exchange Act of 1934, as amended (the "Exchange
Act"), and the rules thereunder, as well as a Schedule 13D or Schedule 13G in
accordance with Section 13(d) of the Exchange Act and the rules thereunder and
any amendments thereto; (ii) 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 and Schedule 13D or 13G (including any amendments,
supplements or exhibits thereto) and timely file such forms with the United
States Securities and Exchange Commission and any stock exchange or similar
authority, including the New York Stock Exchange; and (iii) 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 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 or Section 13 of the
Exchange Act.

        This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file reports or schedules under Section 16
and Section 13(d) of the Exchange Act 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 attorneys-in-
fact.

                 [Remainder of page intentionally left blank.]

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

                                        LUBERT-ADLER GP - WEST, LLC

                                        By:  /s/ Gerald A. Ronon
                                             -----------------------------------
                                        Name: Gerald A. Ronon
                                        Title: Managing Partner & President



                                                                      EXHIBIT 24

                                 June 22, 2020

                               POWER OF ATTORNEY

        KNOW ALL BY THESE PRESENTS, that the undersigned hereby constitutes and
appoints each of R. Eric Emrich and Michael Trachtenberg, signing singly, the
undersigned's true and lawful attorney-in-fact to: (i) execute for and on behalf
of the undersigned, in the undersigned's capacity as an officer and/or director
and/or owner of greater than 10% of the outstanding Common Stock of Albertsons
Companies, Inc., a Delaware corporation (the "Company"), Forms 3, 4 and 5
(including any amendments, supplements or exhibits thereto) in accordance with
Section 16(a) of the Securities Exchange Act of 1934, as amended (the "Exchange
Act"), and the rules thereunder, as well as a Schedule 13D or Schedule 13G in
accordance with Section 13(d) of the Exchange Act and the rules thereunder and
any amendments thereto; (ii) 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 and Schedule 13D or 13G (including any amendments,
supplements or exhibits thereto) and timely file such forms with the United
States Securities and Exchange Commission and any stock exchange or similar
authority, including the New York Stock Exchange; and (iii) 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 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 or Section 13 of the
Exchange Act.

        This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file reports or schedules under Section 16
and Section 13(d) of the Exchange Act 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 attorneys-in-
fact.

                 [Remainder of page intentionally left blank.]

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

                                        /s/ Ira M. Lubert
                                        ----------------------------------------
                                        Name: Ira M. Lubert



                                                                      EXHIBIT 24

                                 June 22, 2020

                               POWER OF ATTORNEY

        KNOW ALL BY THESE PRESENTS, that the undersigned hereby constitutes and
appoints each of R. Eric Emrich and Michael Trachtenberg, signing singly, the
undersigned's true and lawful attorney-in-fact to: (i) execute for and on behalf
of the undersigned, in the undersigned's capacity as an officer and/or director
and/or owner of greater than 10% of the outstanding Common Stock of Albertsons
Companies, Inc., a Delaware corporation (the "Company"), Forms 3, 4 and 5
(including any amendments, supplements or exhibits thereto) in accordance with
Section 16(a) of the Securities Exchange Act of 1934, as amended (the "Exchange
Act"), and the rules thereunder, as well as a Schedule 13D or Schedule 13G in
accordance with Section 13(d) of the Exchange Act and the rules thereunder and
any amendments thereto; (ii) 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 and Schedule 13D or 13G (including any amendments,
supplements or exhibits thereto) and timely file such forms with the United
States Securities and Exchange Commission and any stock exchange or similar
authority, including the New York Stock Exchange; and (iii) 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 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 or Section 13 of the
Exchange Act.

        This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file reports or schedules under Section 16
and Section 13(d) of the Exchange Act 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 attorneys-in-
fact.

                 [Remainder of page intentionally left blank.]

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


                                        /s/ Gerald A. Ronon
                                        ----------------------------------------
                                        Name: Gerald A. Ronon