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. Must be at least 65 years of age. Applicants who turn 65 during the year of application may qualify for tax relief on a prorated basis. Homestead exemption applications must be filed annually between February 2 and June 30. Application forms are typically available beginning February 2. An Application for Exemption from Real Estate Taxation form is available on the tax forms page. Other Exempt Property. How do I get help filling out the Form 458 Schedule 1 income statement?