1. The sublessee shall be liable for the full rent of the sublessor in the amount of. A sublease agreement template is used when a lessee wants to rent out a property or space within a property to an additional party in the state of Ohio (OH).Fill out the Move-in Checklist at the back of this booklet. Keep the original and give a copy to the landlord. Create your free Ohio sublease agreement and sublet your property. Rent your unit to a subtenant with our attorney-approved template. Part A of the HAP Contract: Contract Information. (To prepare the contract, fill out all contract information in Part A.) 1. An Ohio sublease agreement is a contract for tenants, allowing them to create a secondary sublease with a subtenant. Real Estate Services Forms.