We'll explore some of the legal nuances of subletting and walk you through the process of how to sublease your apartment. A sublease agreement is a legal document allowing existing tenants to rent out their rented space to another party, the subtenant.1. Enter the date along with names and addresses of Tenant and Subtenant. Are you hiring a sublease broker? Under the terms of this sublease agreement. Can a landlord evict a tenant without going to court? Here is a sample sublease agreement you can fill out or use as a template.