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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, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
QUARTERLY FINANCIAL DATA (Unaudited)                      
Total revenues $ 22,448 $ 20,414 $ 20,719 $ 21,155 $ 20,270 $ 19,570 $ 19,752 $ 19,534 $ 84,736 $ 79,126 $ 75,916
Gain (loss) on sale of real estate, net 684 2,544 1,099   (1,731) 4,585   2,408 4,327 5,262  
Net income 4,878 5,097 4,558 4,011 183 10,182 4,546 6,653 18,544 21,564 24,249
Net income attributable to One Liberty Properties, Inc. $ 4,810 $ 5,118 $ 4,112 $ 3,971 $ 150 $ 10,147 $ 4,517 $ 5,851 $ 18,011 $ 20,665 $ 24,147
Weighted average number of common shares outstanding:                      
Basic (in shares) 19,245 19,191 19,023 18,894 18,733 18,646 18,519 18,396 19,090 18,575 17,944
Diluted (in shares) 19,266 19,239 19,129 18,993 18,748 18,705 18,593 18,434 19,119 18,588 18,047
Net income (loss) per common share attributable to common stockholders:                      
Basic (in dollars per share) $ 0.23 $ 0.25 $ 0.20 $ 0.19 $ (0.01) $ 0.53 $ 0.23 $ 0.30 $ 0.88 $ 1.05 $ 1.29
Earnings per common share, diluted (in dollars per share) $ 0.23 $ 0.25 $ 0.20 $ 0.19 $ (0.01) $ 0.52 $ 0.23 $ 0.30 $ 0.88 $ 1.05 $ 1.28