A high-frequency filter with a coaxial design has at least one resonator with a first inner conductor and an outer conductor housing. The outer conductor housing comprises a housing base, a housing cover which is arranged at a distance from the housing base, and a peripheral housing wall between the housing base and the housing cover. The first inner conductor is galvanically connected to the housing base and extends axially from the housing base in the direction of the housing cover. The resonator comprises a second internal conductor which is galvanically connected to the housing cover and extends axially from the housing cover in the direction of the housing base. The first and/or second inner conductor has an inner conductor bore, and a tuning element is arranged in one inner conductor bore in a thread-free axially movable manner. The tuning element is arranged in a sleeve or bushing and optionally or in addition thereto has an enlarged elastic region.