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 * Stein William   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 _____ Officer (give title below) _____ Other (specify below) SVP US Distribution East (Last) (First) (Middle) 395 OYSTER POINT BLVD., SUITE 415 3. Date of Earliest Transaction (Month/Day/Year) 01/23/2019 (Street) SOUTH SAN FRANCISCO, CA 94080 4. If Amendment, Date Original Filed(Month/Day/Year) 01/25/2019 6. Individual or Joint/Group Filing(Check Applicable Line) _X_ Form filed by One Reporting Person ___ Form filed by More than One Reporting Person (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 Coremark Common Stock 01/23/2019   M   6,047 (1) A $ 0.01 91,181 (2) D   Coremark Common Stock 01/23/2019   F   1,475 (3) D $ 29.18 89,706 (2) 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

2018 Performance Shares

$ 0.01

01/23/2019

A

18,142

(1)

(1)

Coremark Common Stock

18,142

$ 0

18,142

D

2018 Performance Shares

$ 0.01

01/23/2019

M

6,047

(1)

(1)

Coremark Common Stock

6,047

$ 0

12,095

D

2019 RSU Grant

$ 0.01

01/23/2019

A

12,463

(4)

(4)

Coremark Common Stock

12,463

$ 0

12,463

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
Stein William 395 OYSTER POINT BLVD., SUITE 415 SOUTH SAN FRANCISCO, CA 94080			SVP US Distribution East

Signatures

Chris Miller, POA		03/19/2019
**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)	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.

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