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 *

Molchan Matthew G.
2. Issuer Name and Ticker or Trading Symbol

STAR EQUITY HOLDINGS, INC. [ STRR ]
5. Relationship of Reporting Person(s) to Issuer (Check all applicable)

__X__ Director                    _____ 10% Owner
__X__ Officer (give title below)    _____ Other (specify below)
Pres. & CEO Digirad Health
(Last)          (First)          (Middle)

53 FOREST AVE. SUITE 101
3. Date of Earliest Transaction (MM/DD/YYYY)

2/28/2021
(Street)

OLD GREENWICH, CT 06870
(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 2/28/2021  M  1049 A (1)(2)28784 D  
Common Stock (3)2/28/2021  F  372 D$3.38 28412 D  
Common Stock 2/28/2021  M  1327 A (1)(2)29739 D  
Common Stock (3)2/28/2021  F  470 D$3.38 29269 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 Unit  (1)(2)2/28/2021  M     1049   (4) (4)Common Stock 1049  (1)0 (5)D  
Restricted Stock Unit  (1)(2)2/28/2021  M     1327   (6) (6)Common Stock 1327  (1)1327 (5)D  

Explanation of Responses:
(1) Each Restricted Stock Unit represents the right to receive, at settlement, one share of common stock.
(2) This transaction represents the settlement of Restricted Stock Units in shares of common stock on their scheduled vesting date.
(3) Shares withheld by Registrant to satisfy the minimum statutory tax withholding requirements on vesting of Restricted Stock Units. No shares were sold.
(4) On February 28, 2017, the Reporting Person was granted 4,197 Restricted Stock Units. As to this grant, 25% of the Restricted Stock Units vest on each of February 28, 2018, February 28, 2019, February 28, 2020 and February 28, 2021.
(5) Does not include Restricted Stock Units that did not vest and were cancelled.
(6) On February 28, 2018 the Reporting Person was granted 5,310 Restricted Stock Units. As to this grant, 25% of the Restricted Stock Units vest on each of February 28, 2019, February 28, 2020, February 28, 2021 and February 28, 2022, subject to the Reporting Person continuing to provide service through each such date.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director10% OwnerOfficerOther
Molchan Matthew G.
53 FOREST AVE. SUITE 101
OLD GREENWICH, CT 06870
X
Pres. & CEO Digirad Health

Signatures
/s/ Matthew G. Molchan3/2/2021
**Signature of Reporting PersonDate

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