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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, 2020
Sep. 30, 2020
Jun. 30, 2020
Mar. 31, 2020
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
QUARTERLY FINANCIAL DATA (Unaudited)                      
Total revenues $ 18,732 $ 21,071 $ 20,861 $ 21,239 $ 22,448 $ 20,414 $ 20,719 $ 21,155 $ 81,903 $ 84,736 $ 79,126
Gain on sale of properties 2,712 10,316   4,252 684 2,544 1,099   17,280 4,327  
Net income 3,571 13,726 2,285 7,831 4,878 5,097 4,558 4,011 27,413 18,544 21,564
Net income attributable to One Liberty Properties, Inc. $ 3,572 $ 13,725 $ 2,284 $ 7,826 $ 4,810 $ 5,118 $ 4,112 $ 3,971 $ 27,407 $ 18,011 $ 20,665
Weighted average number of common shares outstanding:                      
Basic (in shares) 19,835 19,640 19,445 19,361 19,245 19,191 19,023 18,894 19,571 19,090 18,575
Diluted (in shares) 19,871 19,686 19,505 19,374 19,266 19,239 19,129 18,993 19,599 19,119 18,588
Net income (loss) per common share attributable to common stockholders:                      
Basic (in dollars per share) $ 0.16 $ 0.67 $ 0.10 $ 0.39 $ 0.23 $ 0.25 $ 0.20 $ 0.19 $ 1.34 $ 0.88 $ 1.05
Diluted (in dollars per share) $ 0.16 $ 0.67 $ 0.10 $ 0.39 $ 0.23 $ 0.25 $ 0.20 $ 0.19 $ 1.33 $ 0.88 $ 1.05