Nebraska Homestead Exemption. Nebraska Homestead Exemption Application, Form 458.Homestead exemption applications must be filed annually between February 2 and June 30. Application forms are typically available beginning February 2. 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. How do I get help filling out the Form 458 Schedule 1 income statement? Our office will help applicants fill out the forms.