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QUARTERLY FINANCIAL DATA (Unaudited): (Details) - USD ($)
$ / shares in Units, shares in Thousands
 1 Months Ended 3 Months Ended 12 Months Ended
Nov. 30, 2015
Oct. 31, 2015
Mar. 31, 2015
Jun. 30, 2014
Dec. 31, 2015
Sep. 30, 2015
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
QUARTERLY FINANCIAL DATA (Unaudited):                              
Total revenues         $ 18,495,000 $ 16,108,000 $ 15,782,000 $ 15,326,000 $ 15,223,000 $ 15,187,000 $ 15,665,000 $ 14,402,000 $ 65,711,000 $ 60,477,000 $ 50,979,000
Income from continuing operations                 11,601,000 2,647,000 4,662,000 3,287,000 21,907,000 22,197,000 17,409,000
Income from discontinued operations                       13,000   13,000 515,000
Net income         5,195,000 3,791,000 3,714,000 9,207,000 11,601,000 2,647,000 4,662,000 3,300,000 21,907,000 22,210,000 17,924,000
Net income attributable to One Liberty Properties, Inc.         $ 5,191,000 $ 3,788,000 $ 3,682,000 $ 7,856,000 $ 11,583,000 $ 2,620,000 $ 4,640,000 $ 3,273,000 $ 20,517,000 $ 22,116,000 $ 17,875,000
Weighted average number of common shares outstanding:                              
Basic (in shares)         16,204 16,014 15,883 15,776 15,727 15,650 15,518 15,356 15,971 15,563 14,948
Diluted (in shares)         16,312 16,114 15,983 15,876 15,827 15,750 15,618 15,456 16,079 15,663 15,048
Net income per common share attributable to common stockholders:                              
Basic (in dollars per share)         $ 0.31 $ 0.22 $ 0.22 $ 0.48 $ 0.71 $ 0.16 $ 0.29 $ 0.20 $ 1.23 $ 1.37 $ 1.15
Diluted (in dollars per share)         $ 0.31 $ 0.22 $ 0.22 $ 0.48 $ 0.71 $ 0.16 $ 0.29 $ 0.20 $ 1.22 $ 1.37 $ 1.14
Lease termination fees $ 950,000 $ 1,286,000 $ 650,000 $ 1,269,000 $ 2,236,000     $ 650,000     $ 1,269,000   $ 2,886,000 $ 1,269,000  
Gain on real estate               5,392,000 $ 10,180,000            
Prepayment costs on debt               472,000 $ 1,581,000         $ 1,581,000  
Write off of Deferred Debt Issuance Cost               249,000              
Non-controlling interest's share of income from the transaction               $ 1,320,000