Create your free Ohio sublease agreement and sublet your property. Rent your unit to a subtenant with our attorney-approved template.This agreement is to sublet real property according to the terms specified below. A sublease agreement is a legal document that permits a tenant to rent out their property to another person, known as a subtenant. An Ohio sublease agreement is a contract for tenants, allowing them to create a secondary sublease with a subtenant. Forms, take the receipt form in the back of this booklet, fill it out and have your landlord sign it at the same time you pay your rent. A sublease agreement in Ohio is a legal document that establishes the agreement between the tenant on the original lease agreement and the new tenant. A sublet, or sublease agreement, adds someone new to an existing lease. Usually the new person (subletter) replaces someone who is moving out.