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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, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
QUARTERLY FINANCIAL DATA (Unaudited)                      
Total revenues $ 20,270 $ 19,570 $ 19,752 $ 19,534 $ 19,894 $ 19,137 $ 18,413 $ 18,472 $ 79,126 $ 75,916 $ 70,588
Gain (loss) on sale of real estate, net (1,731) 4,585   2,408   3,269 6,568   5,262 9,837  
Net income 183 10,182 4,546 6,653 4,242 7,128 9,993 2,886 21,564 24,249 24,481
Net income attributable to One Liberty Properties, Inc. $ 150 $ 10,147 $ 4,517 $ 5,851 $ 4,205 $ 7,105 $ 9,972 $ 2,865 $ 20,665 $ 24,147 $ 24,422
Weighted average number of common shares outstanding:                      
Basic (in shares) 18,733 18,646 18,519 18,396 18,198 18,000 17,824 17,751 18,575 17,944 16,768
Diluted (in shares) 18,748 18,705 18,593 18,434 18,269 18,079 17,938 17,865 18,588 18,047 16,882
Net income (loss) per common share attributable to common stockholders:                      
Basic (in dollars per share) $ (0.01) $ 0.53 $ 0.23 $ 0.30 $ 0.22 $ 0.38 $ 0.54 $ 0.15 $ 1.05 $ 1.29 $ 1.40
Diluted (in dollars per share) $ (0.01) $ 0.52 $ 0.23 $ 0.30 $ 0.22 $ 0.38 $ 0.54 $ 0.15 $ 1.05 $ 1.28 $ 1.39