Obtaining a veterans exemption is not automatic – If you're an eligible veteran, you must submit the initial exemption application form to your assessor. A veteran must have received an honorable discharge or general discharge under honorable conditions.Homestead Exemption Timeline. Nebraska Homestead Exemption. Nebraska Homestead Helpline: (888) 475 - 5101. There are three different property tax exemptions available to veterans who have served in the US Armed Forces. Are veterans eligible for the Homestead Exemption? The DVA Certification Letter can be requested through the Sarpy County Veteran's Service Office (VSO).