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 *

MILLER CHRISTOPHER M 		2. Issuer Name and Ticker or Trading Symbol

Core-Mark Holding Company, Inc. [ CORE ] 		5. Relationship of Reporting Person(s) to Issuer (Check all applicable)

_____ Director                      _____ 10% Owner
__ X __ Officer (give title below)      _____ Other (specify below)
Senior VP & CFO
(Last)          (First)          (Middle)

395 OYSTER POINT BLVD., SUITE 415 		3. Date of Earliest Transaction (MM/DD/YYYY)

1/23/2019
(Street)

SOUTH SAN FRANCISCO, CA 94080
(City)        (State)        (Zip)
4. If Amendment, Date Original Filed (MM/DD/YYYY)

1/25/2019 
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
Coremark Common Stock   1/23/2019     M    5717   (1) A $0.01   26613   (2) D    
Coremark Common Stock   1/23/2019     F    1979   (3) D $29.18   24634   (2) 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
2018 Performance Shares   $0.01   1/23/2019     A      17153         (1)   (1) Coremark Common Stock   17153   $0   17153   D    
2018 Performance Shares   $0.01   1/23/2019     M         5717      (1)   (1) Coremark Common Stock   5717   $0   11436   D    
2019 RSU Grant   $0.01   1/23/2019     A      12463         (4)   (4) Coremark Common Stock   12463   $0   12463   D    

Explanation of Responses:
(1)  2018 Performance Shares were earned upon the achievement of certain company financial goals. These shares will vest according to the following schedule: 1/3 on January 23, 2019; 1/3 on January 1, 2020; 1/3 on January 1, 2021.
(2)  Amount of securities beneficially owned has been updated to reflect the correct amount of shares.
(3)  Shares withheld for taxes on Performance RSU Vesting previously reported in Table I
(4)  This grant represents RSU's from the 2010 Long Term Incentive Plan that are subject to the following vesting schedule: 1/3 on January 23, 2020; 1/3 on January 1, 2021; 1/3 on January 1, 2022.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director 10% Owner Officer Other
MILLER CHRISTOPHER M
395 OYSTER POINT BLVD., SUITE 415
SOUTH SAN FRANCISCO, CA 94080

Senior VP & CFO

Signatures
Chris Miller 3/19/2019
** 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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