Any veteran age 65 and older may qualify for a homestead property tax discount if the veteran has an honorable discharge from military service. However, the exemption cannot exceed the amount of the exempt value granted from the prior homestead.When you apply, please bring: How to file an application:. The disability exemption may carry over to the veteran's spouse when they die. You should talk with the Property Appraiser to make this determination. Exemption applies to all county, city, school district, and special district taxes.