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 * GOULD FREDRIC H   2. Issuer Name and Ticker or Trading Symbol ONE LIBERTY PROPERTIES INC [OLP] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) __X__ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) Chariman of Board (Last) (First) (Middle) 60 CUTTER MILL ROAD, SUITE 303 3. Date of Earliest Transaction (Month/Day/Year) 04/15/2005 (Street) GREAT NECK, NY 11021 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 04/15/2005   A   3,300 A $ 0 264,034 (1) (2) D   Common Stock               818,679 I By partnership (3) Common Stock               50,067 I By trusts (4) Common Stock               124 I By corporation (5) Common Stock               11,640 I By partnership (6) Common Stock               3,510 I By pension trust (7) Common Stock               154,695 I By pension fund (8) Common Stock               47,566 I By spouse (9)

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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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

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
GOULD FREDRIC H 60 CUTTER MILL ROAD SUITE 303 GREAT NECK, NY 11021	X		Chariman of Board

Signatures

Fredric H. Gould		04/15/2005
**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 includes shares owned in an IRA acount.
(2)	The 3,300 shares were awarded to reporting person under the 2003 Incentive Plan. The shares vest April 14, 2010. The award is exempt from Section 16(b) under Rule 16(b)-3.
(3)	Reporting person, sole memeber of a limited liability company which is a general partner of Gould Investors L.P. and an executive officer of the corporate managing general partner of Gould Investors L.P., indirectly owns shares reported directly by Gould Investors L.P. Column 5 includes shares purchased under issuer's dividend reinvestment plan.
(4)	Reporting person disclaims any beneficial interest in these shares. Column 5 includes shares acquired pursuant to issuer's dividend reinvestment plan.
(5)	Reporting person is the sole shareholder of this corporation.
(6)	Reporting person is a partner in this partnership.
(7)	Reporting person is a trustee of this pension trust.
(8)	Reporting person is a trustee of this pension trust. At the time electronic filing of Form 4s became required, the Form 4 for the reporting person inadvertantly dropped reporting person's indirect ownership of 154,695 shares of issuer owned by pension fund in which reporting person is one of three trustees. This situation was discovered only recently. This pension trust has not purchased or sold any shares of issuer since the last date this information was supplied.
(9)	Reporting person disclaims any beneficial interest in these shares.

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