The machining of sets of rail-vehicle wheels by means of milling cutters is currently carried out with the milling-cutter axes parallel to the axis of the wheel set. Proposed is an end-milling cutter for machining wheel rims whose axis is disposed at right angles (16) to the axis (15) of the wheel set. The cross-sectional shape (17) of the wheel is duplicated on a disc-shaped body as a negative of the required wheel shape by means of a multiplicity of overlapping milling cutters duplicating the shape of the wheel, the cutters being spirally staggered round the pitch circles and designed to produce the wheel running-surface and the outwards-facing edge of the flange up to the tip of the flange or designed to produce the outwards-facing surface of the flange from the inside wheel surface to the tip of the flange. The invention is suitable for use in the bottom and top machining of wheel sets by either downcut or conventional milling.