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QUARTERLY FINANCIAL DATA (Unaudited): (Details) (USD $)
In Thousands, except Per Share data, unless otherwise specified
 3 Months Ended 12 Months Ended
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2012
Sep. 30, 2012
Jun. 30, 2012
Mar. 31, 2012
Dec. 31, 2013
Dec. 31, 2012
Dec. 31, 2011
QUARTERLY FINANCIAL DATA (Unaudited):                      
Rental revenues as previously reported $ 14,166 $ 13,214 $ 12,227 $ 12,102 $ 11,557 $ 11,333 $ 11,102 $ 10,758 $ 51,709 $ 44,750  
Revenues from discontinued operations   (244) (246) (240) (240) (240) (240) (237) (730) (957)  
Revenues 14,166 12,970 11,981 11,862 11,317 11,093 10,862 10,521 50,979 43,793  
Income from continuing operations 3,405 3,084 7,607 3,313 2,491 2,867 3,137 2,833 17,409 11,328 11,088
Income from discontinued operations 90 144 145 136 2,417 15,553 2,617 393 515 20,980 2,632
Net income 3,495 3,228 7,752 3,449 4,908 18,420 5,754 3,226 17,924 32,308 13,720
Net income attributable to One Liberty Properties, Inc. $ 3,478 $ 3,211 $ 7,736 $ 3,450 $ 4,933 $ 18,414 $ 5,750 $ 3,223 $ 17,875 $ 32,320 $ 13,724
Weighted average number of common shares outstanding:                      
Basic (in shares) 15,178 15,093 14,844 14,672 14,596 14,443 14,378 14,289 14,948 14,427 13,801
Diluted (in shares) 15,278 15,193 14,944 14,772 14,696 14,543 14,478 14,389 15,048 14,527 13,851
Basic:                      
Income from continuing operations (in dollars per share) $ 0.21 $ 0.19 $ 0.50 $ 0.21 $ 0.16 $ 0.19 $ 0.21 $ 0.19 $ 1.12 $ 0.77 $ 0.77
Income from discontinued operations (in dollars per share) $ 0.01 $ 0.01 $ 0.01 $ 0.01 $ 0.17 $ 1.05 $ 0.18 $ 0.03 $ 0.03 $ 1.41 $ 0.19
Total per common share attributable to common stockholders - basic (in dollars per share) $ 0.22 $ 0.20 $ 0.51 $ 0.22 $ 0.33 $ 1.24 $ 0.39 $ 0.22 $ 1.15 $ 2.18 $ 0.96
Diluted:                      
Income from continuing operations (in dollars per share) $ 0.21 $ 0.19 $ 0.49 $ 0.21 $ 0.16 $ 0.19 $ 0.21 $ 0.19 $ 1.11 $ 0.76 $ 0.77
Income from discontinued operations (in dollars per share) $ 0.01 $ 0.01 $ 0.01 $ 0.01 $ 0.17 $ 1.04 $ 0.18 $ 0.02 $ 0.03 $ 1.40 $ 0.19
Total per common share attributable to common stockholders - diluted (in dollars per share) $ 0.22 $ 0.20 $ 0.50 $ 0.22 $ 0.33 $ 1.23 $ 0.39 $ 0.21 $ 1.14 $ 2.16 $ 0.96