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INCOME TAXES (Details) - USD ($) $ in Thousands	12 Months Ended
	Dec. 31, 2020	Dec. 31, 2019	Dec. 31, 2018
INCOME TAXES
Period of disqualification of REIT status	4 years
Percentage of total distributions representing capital gains	47.00%		12.00%
Percentage of total distributions representing a return of capital to shareholders	8.00%	27.00%
Reconciliation between dividends declared with the dividends paid deduction
Dividends declared	$ 36,564	$ 35,663	$ 34,652
Dividend reinvestment plan	47	247	313
Dividends before adjustments	36,611	35,910	34,965
Less: Spillover dividends designated to previous year			(10,263)
Less: Spillover dividends designated to following year	(9,261)	(8,976)	(549)
Less: Return of capital	(3,273)	(9,842)
Plus: Dividends designated from prior year	8,976	549
Dividends paid deduction	$ 33,053	$ 17,641	$ 24,153
Maximum
Reconciliation between dividends declared with the dividends paid deduction
Percentage of discount on common stock purchased through the dividend reinvestment plan	5.00%	5.00%	5.00%

X

- Definition

Represents the percentage of aggregate cash distributions for dividends during the period, treated as capital gains for federal tax purposes.

+ References

No definition available.

+ Details

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X

- Definition

Represents the amount of dividends paid to stockholders that are deducted from the entity's taxable income.

+ References

No definition available.

+ Details

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X

- Definition

Represents the amount of discount on common stock purchased through the dividend reinvestment plan.

+ References

No definition available.

+ Details

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Data Type:	xbrli:monetaryItemType
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X

- Definition

Represents the amount of dividends before adjustments for dividends designated to previous year and designated from following year.

+ References

No definition available.

+ Details

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- Definition

Dividends declared for reconciliation to dividends paid deduction.

+ References

No definition available.

+ Details

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- Definition

Represents the amount of dividends designated from the prior year.

+ References

No definition available.

+ Details

Name:	olp_DividendsDesignatedFromPriorYear
Namespace Prefix:	olp_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
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X

- Definition

Represents the amount of dividends designated to the following year.

+ References

No definition available.

+ Details

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Namespace Prefix:	olp_
Data Type:	xbrli:monetaryItemType
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- Definition

Represents the amount of dividends designated to the previous year.

+ References

No definition available.

+ Details

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No definition available.

+ Details

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Data Type:	xbrli:stringItemType
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X

- Definition

Represents the percentage of discount from market price on common stock purchased through the dividend reinvestment plan.

+ References

No definition available.

+ Details

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X

- Definition

The percentage of distributions which represent a return of capital to shareholders.

+ References

No definition available.

+ Details

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X

- References

No definition available.

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- Definition

Represents the amount of capital returned.

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No definition available.

+ Details

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Balance Type:	debit
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X

- Definition

Represents the subsequent period during which the entity would be disqualified as a real estate investment trust, if during any tax year the entity fails to qualify as a real estate investment trust.

+ References

No definition available.

+ Details

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