Nebraska Homestead Exemption. Nebraska Homestead Exemption Application, Form 458.The Nebraska homestead exemption is a tax relief program that takes some of the cost of property taxes off of certain homeowners. I also declare that I am entitled to the Nebraska homestead exemption and have not applied for a homestead exemption elsewhere in the state. Download PDF BOE-266 REV. Searching for the ultimate sports bar? We champion sustainability. History: Established in the Office of Education, Department of the Interior, pursuant to provisions of the act of May 17, 1884 (23 Stat. Homestead training center. Hours of operation may vary.