If you have not yet filed your 2024 Nebraska Homestead Exemption Application, you may still be eligible to apply for a property tax exemption. The homestead exemption can decrease the taxable value of your home, so you'll pay fewer property taxes.Nebraska Homestead Exemption. Nebraska Homestead Exemption Application, Form 458. The Nebraska Homestead Exemption Application, Form 458, must be filed with the Sarpy County Assessor's Office between February 2 and June 30, 2022. Contact the Registrar-Recorder's office where the property is located for fees and filing addresses. In Los Angeles County call (800) 201-8999, option 2. The 2024 Nebraska Homestead Exemption Application is due July 1, 2024. You fill out the form once and turn it in, and you continue to get the discount for as long as you live there. The claim form, BOE-266, Claim for Homeowners' Property Tax Exemption, is available from the county assessor.