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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, 2012
Sep. 30, 2012
Jun. 30, 2012
Mar. 31, 2012
Dec. 31, 2011
Sep. 30, 2011
Jun. 30, 2011
Mar. 31, 2011
Dec. 31, 2012
Dec. 31, 2011
Dec. 31, 2010
QUARTERLY FINANCIAL DATA (Unaudited):                      
Rental revenues as previously reported $ 11,557 $ 11,459 $ 11,375 $ 11,308 $ 11,413 $ 10,817 $ 10,908 $ 10,992 $ 45,699 $ 44,130  
Revenues from discontinued operations   (126) (273) (550) (540) (521) (521) (743) (949) (2,325)  
Total revenues 11,557 11,333 11,102 10,758 10,873 10,296 10,387 10,249 44,750 41,805  
Income from continuing operations 2,627 3,001 3,266 2,962 2,827 2,538 3,880 2,327 11,856 11,572 7,438
Income from discontinued operations 2,281 15,419 2,488 264 254 227 1,262 405 20,452 2,148 1,868
Net income 4,908 18,420 5,754 3,226 3,081 2,765 5,142 2,732 32,308 13,720 9,306
Net income attributable to One Liberty Properties, Inc. $ 4,933 $ 18,414 $ 5,750 $ 3,223 $ 3,085 $ 2,765 $ 5,142 $ 2,732 $ 32,320 $ 13,724 $ 9,306
Weighted average number of common shares outstanding:                      
Basic (in shares) 14,596 14,443 14,378 14,289 14,210 14,143 14,078 13,117 14,427 13,801 11,465
Diluted (in shares) 14,696 14,543 14,478 14,389 14,310 14,143 14,178 13,117 14,527 13,851 11,510
Basic:                      
Income from continuing operations (in dollars per share) $ 0.17 $ 0.20 $ 0.22 $ 0.20 $ 0.19 $ 0.17 $ 0.27 $ 0.18 $ 0.80 $ 0.81 $ 0.65
Income from discontinued operations (in dollars per share) $ 0.16 $ 1.04 $ 0.17 $ 0.02 $ 0.02 $ 0.02 $ 0.09 $ 0.03 $ 1.38 $ 0.15 $ 0.16
Total per common share attributable to common stockholders - basic (in dollars per share) $ 0.33 $ 1.24 $ 0.39 $ 0.22 $ 0.21 $ 0.19 $ 0.36 $ 0.21 $ 2.18 $ 0.96 $ 0.81
Per common share attributable to common stockholders - diluted:                      
Income from continuing operations (in dollars per share) $ 0.17 $ 0.20 $ 0.22 $ 0.20 $ 0.19 $ 0.17 $ 0.27 $ 0.18 $ 0.79 $ 0.80 $ 0.65
Income from discontinued operations (in dollars per share) $ 0.16 $ 1.03 $ 0.17 $ 0.01 $ 0.02 $ 0.02 $ 0.08 $ 0.03 $ 1.37 $ 0.16 $ 0.16
Total per common share attributable to common stockholders - diluted (in dollars per share) $ 0.33 $ 1.23 $ 0.39 $ 0.21 $ 0.21 $ 0.19 $ 0.35 $ 0.21 $ 2.16 $ 0.96 $ 0.81