You can lease your apartment to another person. If you will be returning to live in your apartment after the other person leaves, this is called a sublease.Tenants in New York have the legal right to sublet under certain conditions. They must typically obtain the landlord's explicit written consent. A sublease agreement is considered a written document that offers the lessee a chance to pass on the responsibility and rights of tenancy to another person. How do I fill this out? Landlords should thoroughly screen potential subtenants and assignees even if the time left on a lease or periodic rental agreement is short. This document should clearly outline the sublet term, rent amount, security deposit details, and utility responsibilities. You don't have to write up a sublease contract. PREAMBLE: This Sublease contains the agreements between Subtenant and Owner concerning the rights and obligations of each party.