EXHIBIT 24

POWER OF ATTORNEY

Know all by these presents that, the undersigned, Cindy J. Miller, hereby
constitutes and appoints each of Nancy L. Berardinelli-Krantz and
Ronald J. Edwards, signing singly, the undersigned's true and lawful
attorney-in-fact to:

(1) execute for and on behalf of the undersigned Forms 3, 4, 5 and 144
(collectively, the "Section 16 Filings") relating to equity securities of
W.W. Grainger, Inc. (the "Company") in accordance with Section 16(a) of the
Securities Exchange Act of 1934, as amended, and the rules and regulations
thereunder (the "Exchange Act"), and Rule 144 under the Securities Act of
1933, as amended, and the rules and regulations thereunder
(the "Securities Act");

(2) do and perform any and all acts for and on behalf of the undersigned
which may be necessary or desirable to complete any Section 16 Filing
and timely file the same with the United States Securities and Exchange
Commission and any stock exchange or similar authority; and

(3) take any other action of any type whatsoever in connection with the
foregoing which, in the opinion of the attorney-in-fact, may be necessary,
appropriate or advisable, it being understood and agreed that the documents
executed by any 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 his or her discretion.

The undersigned hereby grants to each attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever
necessary, appropriate or advisable to be done in the exercise of any
of the rights and powers herein granted, as fully to all intents and
purposes as the attorney-in-fact might or could do if personally present,
with full power of substitution or revocation, hereby ratifying and
confirming all that the attorney-in-fact, or his or her 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 and agrees that no attorney-in-fact, in serving
in such capacity at the request of the undersigned, is assuming, nor is the
Company assuming, any of the undersigned's responsibilities to comply with
Section 16 of the Exchange Act or Rule 144 under the Securities Act.

This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4, 5, and 144 with
respect to the undersigned's holdings of and transactions in equity securities
of the Company, unless earlier revoked by the undersigned in a signed
writing delivered to the attorneys-in-fact.

IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney
to be executed as of this 30th day of March, 2024.

/s/ Cindy J. Miller