Nebraska Homestead Exemption. Nebraska Homestead Exemption Application, Form 458.The 2023 Nebraska Homestead Exemption Application is now available. The form must be filed with the Sarpy County Assessor's Office between Feb. The Nebraska Homestead Exemption Application, Form 458, must be filed with the Sarpy County Assessor's Office between February 2 and June 30, 2022. 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. Homestead exemption applications must be filed annually between February 2 and June 30. Application forms are typically available beginning February 2. Nebraska Homestead Exemption applications must be filed with local county assessors between Feb. Douglas County has additional exemptions.