A milling cutter for machining work pieces, which comprises at least one cutting insert that can be adjusted by an adjusting element. The adjusting element is a one-piece element having an adjusting cone that extends between a screw head and a threaded shank. The adjusting cone engages with a recess provided in a lateral face of the cutting insert, which recess may also have a conical shape which substantially corresponds to the conical shape of the adjusting cone.