Create your free Ohio sublease agreement and sublet your property. Rent your unit to a subtenant with our attorney-approved template.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). Ohio law requires tenants to have written consent from landlords to sublease a rental unit in Ohio. Easily edit, fill and sign for free with Lumin. An Ohio sublease agreement is a contract for tenants, allowing them to create a secondary sublease with a subtenant. After you find the right subtenant, have them sign a contract. ☐ Tenant requires Landlord's written approval to sublet the Premises. In the event that the Original. A sublease agreement is a rental contract used for rerenting a currently leased unit to a new tenant.