In that case, you would need to provide DMV with your lease agreement and complete Statement of Transaction at NY State Department of Tax and Finance DTF-802. Then, you would need to pay the sales tax at a DMV office for any lease payments, if your leasing company didn't collect the sales tax.
What do I need to register my vehicle in New York?
You'll need a letter from the leasing company giving you permission to register the vehicle in NY, a power of attorney from the leasing company that authorizes you to register the vehicle, and the signature of the leasing company officer in box 3 on the Vehicle Registration/Title Application or on the Registration Authorization.
I don't think I paid sales tax for all of the lease payments. What do I do?