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 *

MONTGOMERY DAVID
2. Issuer Name and Ticker or Trading Symbol

TEMPUR SEALY INTERNATIONAL, INC. [ TPX ]
5. Relationship of Reporting Person(s) to Issuer (Check all applicable)

_____ Director                    _____ 10% Owner
__X__ Officer (give title below)    _____ Other (specify below)
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(Last)          (First)          (Middle)

C/O TEMPUR SEALY INTERNATIONAL, INC., 1000 TEMPUR WAY
3. Date of Earliest Transaction (MM/DD/YYYY)

1/3/2020
(Street)

LEXINGTON, KY 40511
(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 1/4/2020  M  9181 A$0 (1)257830 D  
Common Stock 1/4/2020  F  4316 D$85.56 253514 D  
Common Stock 1/5/2020  M  3957 A$0 (1)257471 D  
Common Stock 1/5/2020  F  1860 D$85.56 255611 D  
Common Stock 1/5/2020  M  4404 A$0 (1)260015 D  
Common Stock 1/5/2020  F  2070 D$85.56 257945 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 Security3. Trans. Date3A. Deemed Execution Date, if any4. 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 Date7. 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)
CodeV(A)(D)Date ExercisableExpiration DateTitleAmount or Number of Shares
Restricted Stock Units  (1)1/3/2020  A   9058     (2) (2)Common Stock 9058.0 $0 9058 D  
Restricted Stock Units  (1)1/4/2020  M     9181   (3) (3)Common Stock 9181.0 $0 27540 D  
Restricted Stock Units  (1)1/5/2020  M     4404   (4) (4)Common Stock 4404.0 $0 8806 D  
Restricted Stock Units  (1)1/5/2020  M     3957   (5) (5)Common Stock 3957.0 $0 3956 D  

Explanation of Responses:
(1) Restricted Stock Units convert into common stock on a one-for-one basis.
(2) On January 3, 2020, the reporting person was granted 9,058 restricted stock units, vesting in four annual installments beginning on the first anniversary of the grant date.
(3) On January 4, 2019, the reporting person was granted 36,721 restricted stock units, vesting in four annual installments beginning on the first anniversary of the grant date.
(4) On January 5, 2018, the reporting person was granted 17,614 restricted stock units, vesting in four annual installments beginning on the first anniversary of the grant date.
(5) On January 5, 2017, the reporting person was granted 15,827 restricted stock units, vesting in four annual installments beginning on the first anniversary of the grant date, subject to a performance condition. On March 5, 2018, the Compensation Committee of the Board of Directors determined that the performance condition had been satisfied, and the award became subject only to time vesting restrictions.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director10% OwnerOfficerOther
MONTGOMERY DAVID
C/O TEMPUR SEALY INTERNATIONAL, INC.
1000 TEMPUR WAY
LEXINGTON, KY 40511


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Signatures
/s/ Bhaskar Rao, Attorney in Fact1/7/2020
**Signature of Reporting PersonDate

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