This is the slow way of doing it, but if you are too far from the Central Records Section in Yaphank, you can download the request for public record here http://www.co.suffolk.ny.us/police/forms/foil.pdf and mail to
Suffolk County Police Department
Central Records Section
30 Yaphank Avenue,
Yaphank, N.Y. 11980-9705
Make sure you write your complaint number on the application.
You will also need to send a check with your request, in the amount of $ 1.00 made out to the SUFFOLK COUNTY POLICE DEPARTMENT.
You will receive your certified copy within 7 - 10 business days. If you need help filling out the paper work, it is best to contact a car accident attorney in NY who can help.
Ordering in Person
Drive to the Suffolk County Police Department Central Records Section in Yaphank, New York. You can then go to the Records Section located on the left hand side of the waiting area after you walk in. Go up to the window and fill out the records request. Have your $ 1.00 ready. You will receive your certified copy that day.