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QUARTERLY FINANCIAL DATA (Unaudited): (Details) - USD ($)
$ / shares in Units, shares in Thousands, $ in Thousands
 3 Months Ended 12 Months Ended
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2015
Sep. 30, 2015
Jun. 30, 2015
Mar. 31, 2015
Dec. 31, 2016
Dec. 31, 2015
Dec. 31, 2014
QUARTERLY FINANCIAL DATA (Unaudited):                      
Total revenues $ 18,990 $ 18,021 $ 17,233 $ 16,344 $ 18,495 $ 16,108 $ 15,782 $ 15,326 $ 70,588 $ 65,711 $ 60,477
Net income 4,414 4,323 12,459 3,285 5,195 3,791 3,714 9,207 24,481 21,907 22,210
Net income attributable to One Liberty Properties, Inc. $ 4,395 $ 4,299 $ 12,441 $ 3,287 $ 5,191 $ 3,788 $ 3,682 $ 7,856 $ 24,422 $ 20,517 $ 22,116
Weighted average number of common shares outstanding:                      
Basic (in shares) 17,255 16,845 16,579 16,388 16,204 16,014 15,883 15,776 16,768 15,971 15,563
Diluted (in shares) 17,369 16,962 16,686 16,495 16,312 16,114 15,983 15,876 16,882 16,079 15,663
Net income per common share attributable to common stockholders:                      
Basic (in dollars per share) $ 0.24 $ 0.24 $ 0.72 $ 0.19 $ 0.31 $ 0.22 $ 0.22 $ 0.48 $ 1.40 $ 1.23 $ 1.37
Diluted (in dollars per share) $ 0.24 $ 0.24 $ 0.72 $ 0.18 $ 0.31 $ 0.22 $ 0.22 $ 0.48 $ 1.39 $ 1.22 $ 1.37
Gain on real estate     $ 8,918         $ 5,392      
Lease termination fees         $ 2,236     650   $ 2,886 $ 1,269
Prepayment costs on debt               472 $ 577 $ 568 $ 1,581
Write off of Deferred Debt Issuance Cost               249      
Non-controlling interest's share of income from the transaction               $ 1,320