Neb. Rev. Stat. § 15-259

A city of the primary class may erect, establish, and regulate houses of correction, jails, community residential centers, work release centers, halfway houses, and such other places of control or confinement as may be designated as a jail facility from time to time by the city, including station houses and other buildings necessary for keeping and confining prisoners, and may provide for the government and support of such facilities.