A surgical milling instrument, comprising two tubular cutters arranged one inside another, each of which has a cylindrical shaft tube, an integrally formed distal end piece in a hollow hemispherical shape, and a cutting window, wherein the outer tubular cutter is non-rotatably mounted on a main body and the inner tubular cutter is mounted in a rotationally driven manner thereon, is characterized in that at least one of the end pieces, in a hole surrounding the axis of the associated shaft tube, has an insert plate connected on the edge thereof to the edge of the hole.