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 * BYRNE TIMOTHY W 2. Issuer Name and Ticker or Trading Symbol UNITED STATES LIME & MINERALS INC [ USLM ] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable)__X__ Director                    _____ 10% Owner
__X__ Officer (give title below)    _____ Other (specify below)
President & CEO
(Last)         (First)         (Middle)
5429 LBJ FREEWAY, SUITE 230
3. Date of Earliest Transaction (MM/DD/YYYY)
8/27/2020
(Street)
DALLAS, TX 75240
(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
USLM Common Stock  8/27/2020    S    100  D $92.31  36678  D   
USLM Common Stock  8/27/2020    S    300  D $93.72 (1) 36378  D   
USLM Common Stock  8/27/2020    S    1004  D $93.21 (2) 35374  D   
USLM Common Stock  8/28/2020    S    86  D $94.89 (3) 35288  D   
USLM Common Stock  8/28/2020    S    605  D $93.57 (4) 34683  D   
USLM Common Stock  8/28/2020    S    2492  D $92.87 (5) 32191  D   
USLM Common Stock  8/28/2020    S    456  D $92.29 (6) 31735  D   
USLM Common Stock  8/28/2020    G    500  D $92.69 (7) 31235  D   
USLM Common Stock  8/27/2020    S    347  D $92.26 (8) 30888  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

Explanation of Responses:
(1)  The price reported in Column 4 is a weighted average price. These shares were sold in multiple transactions in prices ranging form $93.55 to $94.07, inclusive. The reporting person undertakes to provide United States Lime & Minerals, Inc., any security holder of United States Lime & Minerals, Inc. or the staff of the Securities and Exchange Commission, upon request, full information regarding the number of shares sold at each separate price with the ranges set forth in footnotes 1, 2, 3, 4, 5, 6 & 8 of this Form 4.
(2)  The price in Cp;i,m 4 is a weighted average price. These shares were sold in multiple transactions at prices ranging from $92.40 to $ 93.40, inclusive.
(3)  The price reported in Column 4 is a weighted average price. These shares were sold in multiple transaction in prices ranging from $94.88 to $94.89, inclusive.
(4)  The price reported in Column 4 is a weighted average price. These shsres were sold in multiple transactions at prices ranging from $93.50 to $93.66, inclusive.
(5)  The price reported in Column 4 is a weighted average price. The shares were sold in multiple transactions at prices ranging from $92.45 to $93.40, inclusive.
(6)  The price reported in Column 4 is a weighted average price. The shares were sold in multiple transactions at prices ranging from $92.25 to $92.37, inclusive.
(7)  Per share closing price on 08/28/2020.
(8)  The price reported in Column 4 is a weighted average price. These shares were sold in multiple transactions at prices ranging from $92.50 to $93.38, inclusive.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director 10% Owner Officer Other
BYRNE TIMOTHY W
5429 LBJ FREEWAY
SUITE 230
DALLAS, TX 75240
X
President & CEO

Signatures
M Michael Owens (POA) 8/28/2020
**Signature of Reporting Person Date
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