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
                                                                                  
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Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940
                      

1. Name and Address of Reporting Person *

HOWARD JOHN L 		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 and General Counsel
(Last)          (First)          (Middle)

100 GRAINGER PARKWAY 		3. Date of Earliest Transaction (MM/DD/YYYY)

4/5/2018
(Street)

LAKE FOREST, IL 60045
(City)        (State)        (Zip)
4. If Amendment, Date Original Filed (MM/DD/YYYY)

 
6. Individual or Joint/Group Filing (Check Applicable Line)

_ X _ Form filed by One Reporting Person
___ Form filed by More than One Reporting Person

Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3) 		2. Trans. Date 2A. Deemed Execution Date, if any 3. Trans. 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   4/5/2018     M (1)    19500   A $108.15   57906   D    
Common Stock   4/5/2018     S (1)    19500   D $295.00   38406   D    

Table II - Derivative Securities Beneficially Owned ( e.g. , puts, calls, warrants, options, convertible securities)
1. Title of Derivate Security
(Instr. 3) 		2. Conversion or Exercise Price of Derivative Security 3. Trans. Date 3A. Deemed Execution Date, if any 4. Trans. 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 7. Title and Amount of Securities Underlying Derivative Security
(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   $108.15   4/5/2018     M   (1)       19500    4/28/2013   4/27/2020   Common Stock   19500   $0.00   0   D    
Stock Option   $149.02                    4/27/2014   4/26/2021   Common Stock   14990     14990   D    
Stock Option   $204.01                    4/25/2015   4/24/2022   Common Stock   11716     11716   D    
Stock Option   $245.86                    4/24/2016   4/23/2023   Common Stock   11543     11543   D    
Stock Option   $248.22                    4/30/2017   4/29/2024   Common Stock   7360     7360   D    
Stock Option   $231.88                    4/1/2018   3/31/2025   Common Stock   9728     9728   D    
Stock Option   $234.38                    4/1/2019   3/31/2026   Common Stock   12390     12390   D    
Stock Option   $231.20                    4/3/2020   4/2/2027   Common Stock   8607     8607   D    
Stock Option   $276.64                    4/2/2021   4/1/2028   Common Stock   8979     8979   D    

Explanation of Responses:
(1)  Transaction pursuant to a previously adopted Rule 10b5-1 trading program.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director 10% Owner Officer Other
HOWARD JOHN L
100 GRAINGER PARKWAY
LAKE FOREST, IL 60045

Sr. VP and General Counsel

Signatures
Hugo Dubovoy, as attorney-in-fact 4/5/2018
** Signature of Reporting Person Date


Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
* 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).
Note: File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.
Persons who respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB control number.
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