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STOCKHOLDERS' EQUITY (Details 2) (USD $) | 0 Months Ended | 12 Months Ended
--- | --- | ---
Mar. 20, 2014 | Dec. 31, 2014 | Dec. 31, 2013 | Dec. 31, 2012
Stockholders' Equity |  |  |  |
Cash distributions declared per share of common stock (in dollars per share) |  | $ 1.50 us-gaap_CommonStockDividendsPerShareDeclared | $ 1.42 us-gaap_CommonStockDividendsPerShareDeclared | $ 1.34 us-gaap_CommonStockDividendsPerShareDeclared
Common shares issued under the Distribution Reinvestment Plan |  | 227,000 us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan | 210,000 us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan | 215,000 us-gaap_StockIssuedDuringPeriodSharesDividendReinvestmentPlan
Maximum aggregate sales price of shares to be sold under an Equity Offering Sales Agreement (in dollars) | $ 38,360,000 olp_MaximumAggregateSalesPriceOfSharesToBeSoldUnderEquityOfferingProgram |  |  |
Number of shares sold |  | 179,051 us-gaap_StockIssuedDuringPeriodSharesNewIssues | 363,463 us-gaap_StockIssuedDuringPeriodSharesNewIssues |
Proceeds from sale of shares, net of commission and before offering costs |  | 3,889,700 olp_StockIssuedDuringPeriodValueNewIssuesNetProceedBeforeOfferingCosts | 9,227,800 olp_StockIssuedDuringPeriodValueNewIssuesNetProceedBeforeOfferingCosts |
Payment of commissions on sale of shares |  | 39,000 olp_PaymentOfCommissionsOnSaleOfShares | 93,000 olp_PaymentOfCommissionsOnSaleOfShares |
Payment of offering costs on sale of shares |  | $ 122,000 olp_PaymentOfOfferingCostsOnSaleOfShares | $ 63,000 olp_PaymentOfOfferingCostsOnSaleOfShares |
Maximum |  |  |  |
Stockholders' Equity |  |  |  |
Discount rate (as a percent) |  | 5.00%olp_PercentageOfDiscountOnCommonStockPurchasedThroughDividendReinvestmentPlan / us-gaap_RangeAxis = us-gaap_MaximumMember |  |

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- Definition Aggregate dividends declared during the period for each share of common stock outstanding. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher SEC -Name Regulation S-X (SX) -Number 210 -Section 04 -Article 3 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SX 210.3-04) -URI http://asc.fasb.org/extlink&oid=27012166&loc=d3e187085-122770 + Details
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- Definition Number of shares issued during the period from a dividend reinvestment plan (DRIP). A dividend reinvestment plan allows the shareholders to reinvest dividends paid to them by the entity on new issues of stock by the entity. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 505 -SubTopic 10 -Section 50 -Paragraph 2 -URI http://asc.fasb.org/extlink&oid=6928386&loc=d3e21463-112644 + Details
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