This user-friendly form allows you to gather essential details from prospective tenants, including personal information, rental history, and employment details. • Each adult (18 or older) must fill out a separate application.A New York rental application is a legal document that allows a landlord to review a potential tenant's background information and references. Unsure what to include in your shortterm rental agreement as a host? Make sure to indicate the type of property and the number of units. Fill out property owner section with contact information. 4. 4. Sign the application form. 5. Please provide the appropriate information of someone we can contact in an emergency who is not expected to reside in the apartment. The form can be printed from PDF or Word format. Fill out your residential tenancy application form here.