Neb. Rev. Stat. § 19-2301

The governing body of any city of the first class, city of the second class, or village may enact ordinances providing for the acquisition, establishment, erection, maintenance, and operation of a system of parking meters or other similar mechanical devices requiring a reasonable deposit from those who park vehicles for stipulated periods of time in certain areas of such a city or village in which the congestion of vehicular traffic is such that the public convenience and safety require such regulation.