Nebraska Homestead Exemption. Nebraska Homestead Helpline: (888) 475 - 5101.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. If you have not yet filed your 2024 Nebraska Homestead Exemption Application, you may still be eligible to apply for a property tax exemption. To qualify for a homestead exemption, you must own and occupy the property on which you are applying. The Nebraska homestead exemption is a tax relief program that takes some of the cost of property taxes off of certain homeowners.