NYS DMV的答案
问:I will become a resident of New York State and will register my vehicle here
. Do I need to get a New York State inspection as soon as I register?
答:No. Your out-of-state inspection remains valid until it expires, or for one year after the vehicle is registered in New York, whichever comes first. When your out-of-state inspection expires, you must get the vehicle inspected here.
If the previous inspection was performed in a jurisdiction that does not
issue an inspection sticker, you must have your vehicle inspected in New
York.
http://dmv.ny.gov/inspection/inspection-requirements