Obtaining a veterans exemption is not automatic – If you're an eligible veteran, you must submit the initial exemption application form to your assessor. There are three different property tax exemptions available to veterans who have served in the US Armed Forces.Dwyer Veterans Peer Support Project (631) 853-8345. To make an appointment to apply for the program, or if you have questions, call (757) 514-4870, or (757) 514-4222. You may submit an application (PDF) with your benefits letter or call our office at (757) 514-4260 to designate a vehicle. A service connected disability may entitle the veteran to a larger exemption. Deadline for exemption applications is March 1. Assessor's Office 116 Hampton Road Southampton NY 11968. Qualifying veterans and their family members are eligible for property tax breaks in New York City. Alternative Veterans Exemption - overview.