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.Applicants must complete the Homestead Exemption Application for Disabled Veterans and Surviving Spouses (DTE 105I) to receive this exemption. Qualifying veterans and their family members are eligible for property tax breaks in New York City. Alternative Veterans Exemption - overview. Who qualifies for the new Homestead Exemption?