Nebraska Homestead Exemption. Nebraska Homestead Exemption Application, Form 458.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. The Nebraska homestead exemption is a tax relief program that takes some of the cost of property taxes off of certain homeowners. What is a Homestead Tax Exemption? Homestead exemption applications must be filed annually between February 2 and June 30. Application forms are typically available beginning February 2.