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OTHER INCOME - Lease Assignment Fee Income (Details)	1 Months Ended	9 Months Ended
	Mar. 31, 2021 USD ($) item	Sep. 30, 2021 USD ($)
Lease Assignment Fee Income
Fee income, lease assignment agreement	$ 100,000
Number of properties included in a lease split and assignment agreement | item	6
Other income
Lease Assignment Fee Income
Fee income, lease assignment agreement		$ 100,000

X

- Definition

The amount of one-time income from tenant agreement to lease split and assignment.

+ References

No definition available.

+ Details

Name:	olp_FeeIncomeLeaseSplitAndAssignmentAgreement
Namespace Prefix:	olp_
Data Type:	xbrli:monetaryItemType
Balance Type:	credit
Period Type:	duration

X

- References

No definition available.

+ Details

Name:	olp_LeaseAssignmentFeeIncomeAbstract
Namespace Prefix:	olp_
Data Type:	xbrli:stringItemType
Balance Type:	na
Period Type:	duration

X

- Definition

The number of properties included in a lease split and assignment agreement.

+ References

No definition available.

+ Details

Name:	olp_NumberOfPropertiesIncludedInLeaseSplitAndAssignmentAgreement
Namespace Prefix:	olp_
Data Type:	xbrli:integerItemType
Balance Type:	na
Period Type:	instant

X

- Details

Name:	us-gaap_IncomeStatementLocationAxis=olp_OtherNonoperatingIncomeMember
Namespace Prefix:
Data Type:	na
Balance Type:
Period Type: