Using PDFRun, you can electronically fill out and download a PDF copy of the New York Sublease Agreement PDF in minutes. Here is a sample sublease agreement you can fill out or use as a template.When You sign this Sublease as a security deposit, which is called in law a trust. Create a sublease agreement to legally sublet your property. Our sublease contract template allows a tenant to rent a unit to a subtenant. Step 4 – Explain the Details of the Original Lease. Your new subtenant must know of any provisions in the original lease agreement. We have drawn up a comprehensive guide to help you navigate the laws concerning sublease agreements in New York. It is to your benefit to ask for a security deposit from the sublessee. Then, if damages occur, they do not come out of your pocket. 3.