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. Attention: Before filling out form, download and save to your computer. Homestead exemption applications must be filed annually between February 2 and June 30. Application forms are typically available beginning February 2. The Nebraska Homestead Exemption program is a property tax relief program for qualified individuals who own a home in Nebraska. Douglas County has additional exemptions for 62 years of age or older, disabled veterans or their surviving spouses, and totally disabled homeowners. Washington County is located in eastern Nebraska on the Missouri River. In the early 1990s, Nebraska experienced a personal property crisis.