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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, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
QUARTERLY FINANCIAL DATA (Unaudited):                      
Total revenues $ 19,894 $ 19,137 $ 18,413 $ 18,472 $ 18,990 $ 18,021 $ 17,233 $ 16,344 $ 75,916 $ 70,588 $ 65,711
Gain on sale of real estate, net   3,269 6,568   263 119 8,918 787 9,837 10,087 5,392
Net income 4,242 7,128 9,993 2,886 4,414 4,323 12,459 3,285 24,249 24,481 21,907
Net income attributable to One Liberty Properties, Inc. common stockholders, net of non-controlling interests $ 4,205 $ 7,105 $ 9,972 $ 2,865 $ 4,395 $ 4,299 $ 12,441 $ 3,287 $ 24,147 $ 24,422 $ 20,517
Weighted average number of common shares outstanding:                      
Basic (in shares) 18,198 18,000 17,824 17,751 17,255 16,845 16,579 16,388 17,944 16,768 15,971
Diluted (in shares) 18,269 18,079 17,938 17,865 17,369 16,962 16,686 16,495 18,047 16,882 16,079
Net income per common share attributable to common stockholders:                      
Basic (in dollars per share) $ 0.22 $ 0.38 $ 0.54 $ 0.15 $ 0.24 $ 0.24 $ 0.72 $ 0.19 $ 1.29 $ 1.40 $ 1.23
Diluted (in dollars per share) $ 0.22 $ 0.38 $ 0.54 $ 0.15 $ 0.24 $ 0.24 $ 0.72 $ 0.18 $ 1.28 $ 1.39 $ 1.22