There are no income and homestead value limits for categories 4V, 4S, 5, and 7. The. How to Apply for Homestead Exemptions Homestead applications must be filed with the county assessor after February 1, and on or before June 30 of each year.If you have not yet filed your 2024 Nebraska Homestead Exemption Application, you may still be eligible to apply for a property tax exemption. However, there is help for lowincome people who are 65 or older, disabled, or veterans. They may qualify for the Homestead Tax Exemption. The Nebraska homestead exemption program is a property tax relief program for three categories of homeowners: A. Persons over age 65;. B.