Neb. Rev. Stat. §§ 18-3308
Any plat created pursuant to section 18-3304 may be vacated at any time before the sale of any lots contained in such plat by a written instrument declaring such plat to be vacated. Such written instrument shall be approved by the city council or village board of trustees and shall be duly executed, acknowledged, or proved, and recorded in the same office with the plat to be vacated. The execution and recording of such written instrument shall operate to destroy the force and effect of the recording of the plat so vacated and to divest all public rights in the streets, alleys, commons, and public grounds laid out or described in such plat. In cases when any lots have been sold, the plat may be vacated, as provided in this section, by all the owners of lots in such plat joining in the execution of such written instrument.
Neb. Rev. Stat. §§ 18-3308