FORM 4 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP OF SECURITIES Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934, Section 17(a) of the Public Utility Holding Company Act of 1935 or Section 30(h) of the Investment Company Act of 1940

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1. Name and Address of Reporting Person * Robbins Paige K   2. Issuer Name and Ticker or Trading Symbol GRAINGER W W INC [GWW] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Sr. VP, Chief Digital Officer (Last) (First) (Middle) 100 GRAINGER PARKWAY 3. Date of Earliest Transaction (Month/Day/Year) 02/20/2019 (Street) LAKE FOREST, IL 60045 4. If Amendment, Date Original Filed(Month/Day/Year) 6. Individual or Joint/Group Filing(Check Applicable Line) _X_ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person (City) (State) (Zip) Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

1.Title of Security (Instr. 3) 2. Transaction Date (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 3. Transaction Code (Instr. 8) 4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5) 5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Code V Amount (A) or (D) Price Common Stock 02/20/2019   A(1)   529 A $ 0 10,218 D   Common Stock 02/20/2019   F   163 D $ 314.65 10,055 D

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Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)

1. Title of Derivative Security (Instr. 3)

2. Conversion or Exercise Price of Derivative Security

3. Transaction Date (Month/Day/Year)

3A. Deemed Execution Date, if any (Month/Day/Year)

4. Transaction Code (Instr. 8)

5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4, and 5)

6. Date Exercisable and Expiration Date (Month/Day/Year)

7. Title and Amount of Underlying Securities (Instr. 3 and 4)

8. Price of Derivative Security (Instr. 5)

9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4)

10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4)

11. Nature of Indirect Beneficial Ownership (Instr. 4)

Code

V

(A)

(D)

Date Exercisable

Expiration Date

Title

Amount or Number of Shares

Stock Option

$ 149.02

04/27/2014

04/26/2021

Common Stock

3,840

3,840

D

Stock Option

$ 204.01

04/25/2015

04/24/2022

Common Stock

2,790

2,790

D

Stock Option

$ 245.86

04/24/2016

04/23/2023

Common Stock

2,330

2,330

D

Stock Option

$ 248.22

04/30/2017

04/29/2024

Common Stock

2,127

2,127

D

Stock Option

$ 231.88

04/01/2018

03/31/2025

Common Stock

3,122

3,122

D

Stock Option

$ 234.38

04/01/2019

03/31/2026

Common Stock

3,813

3,813

D

Stock Option

$ 231.2

04/03/2020

04/02/2027

Common Stock

2,814

2,814

D

Stock Option

$ 276.64

04/02/2021

04/01/2028

Common Stock

3,904

3,904

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Robbins Paige K 100 GRAINGER PARKWAY LAKE FOREST, IL 60045			Sr. VP, Chief Digital Officer

Signatures

Hugo Dubovoy, Jr., as attorney-in-fact		02/22/2019
**Signature of Reporting Person		Date

Explanation of Responses:

*	If the form is filed by more than one reporting person, see Instruction 4(b)(v).
**	Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
(1)	Performance vested stock units ("PSUs"), granted on January 1, 2016. The Company's performance over the three-year period ended December 31, 2018 achieved a payout equal to 97 percent of the 2016 PSU program target, as approved by the Board of Directors of the Company (the "Board"), acting in executive session with only independent directors participating, on February 20, 2019, upon the earlier determination and recommendation of the Compensation Committee of the Board.

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