Nebraska Homestead Exemption. Nebraska Homestead Exemption Application, Form 458.Application for Exemption Instructions Details on how to fill out and mail your Property Taxation Exemption Form , PDF: Application for Exemption Property Tax. The Nebraska homestead exemption is a tax relief program that takes some of the cost of property taxes off of certain homeowners. So don't be surprised when your homestead research results in learning someone did not take up land under the Homestead Act. The 2023 Nebraska Homestead Exemption Application is now available. The form must be filed with the Sarpy County Assessor's Office between Feb. One place to search and find your next commercial real estate rental.