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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(Print or Type Responses)

1. Name and Address of Reporting Person * DUESER F SCOTT   2. Issuer Name and Ticker or Trading Symbol FIRST FINANCIAL BANKSHARES INC [FFIN] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) __X__ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Chairman, President and CEO (Last) (First) (Middle) P. O. BOX 701 3. Date of Earliest Transaction (Month/Day/Year) 06/05/2018 (Street) ABILENE, TX 79604-0701 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 06/05/2018   M   5,000 A $ 30.85 394,143 I By Trust (1) Common Stock 06/05/2018   M   4,000 A $ 15.73 398,143 I By Trust (1) Common Stock               278,002 I By Partnership (2) Common Stock               224,155 I By LLC (3)

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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

Employee Stock Option, Right to Buy

$ 30.85

06/05/2018

M

5,000

10/22/2017

10/22/2023

Common Stock

5,000

$ 30.85

10,000

D

Employee Stock Option, Right to Buy

$ 15.73

06/05/2018

M

4,000

10/25/2017

10/25/2021

Common Stock

4,000

$ 15.73

0

D

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
DUESER F SCOTT P. O. BOX 701 ABILENE, TX 79604-0701	X		Chairman, President and CEO

Signatures

By: J. Bruce Hildebrand Attorney in Fact for F. Scott Dueser		06/05/2018
**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)	The total shares represented are held in various trusts of which Mr. Dueser is the trustee, settlor and beneficiary.
(2)	Represents shares owned by a family limited partnership of which Mr. Dueser is the manager of the limited liability company. Mr. Dueser disclaims beneficial ownership with respect to 208,502 shares because he does not have a pecuniary interest in such shares. This report should not be deemed an admission that Mr. Dueser is the beneficial ownership of these shares for purposes of Section 16 or any other purpose.
(3)	On December 15, 2017, Mr. Dueser gifted partnership interests (in the form of units) to three trusts. Trust I, Trust II and Trust III (together, the "Trusts") of which he is not the beneficiary. Although Mr. Dueser gifted partnership interests to the Trusts, the number of shares beneficially owned by the partnership remained unchanged. The gifting of the partnership interests, however, decreased Mr. Dueser's pecuniary interests in the shares held by the partnership due to the decrease of his overall interests in the partnership. Accordingly, while the gifting of the partnership interests to the Trusts constituted a disposition by Mr. Dueser, the amount and price of the shares involved in the disposition were not applicable.

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