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. When applying for your county's homestead exemption, you must show proof of your income. Homestead exemption applications must be filed annually between February 2 and June 30. Application forms are typically available beginning February 2. Douglas County has additional exemptions. The Cook County Assessor's Office automatically renews Homeowner Exemptions for properties that were not sold to new owners in the last year. If you have not yet filed your 2024 Nebraska Homestead Exemption Application, you may still be eligible to apply for a property tax exemption. Application Submission.