Nebraska Homestead Exemption. Nebraska Homestead Exemption Application, Form 458.So don't be surprised when your homestead research results in learning someone did not take up land under the Homestead Act. The Nebraska homestead exemption is a tax relief program that takes some of the cost of property taxes off of certain homeowners. Homestead application papers are good sources of genealogical and family history information. Application papers often mention family members or neighbors. Volunteers Assisting Seniors (VAS) assists with Homestead Exemption filing. Application for Exemption Instructions Details on how to fill out and mail your Property Taxation Exemption Form , PDF: Application for Exemption Property Tax. Homestead exemption applications must be filed annually between February 2 and June 30. Application forms are typically available beginning February 2.