A surgical milling instrument, comprising two tubular cutters (2, 9) arranged one inside another, each of which has a cylindrical shaft tube (4, 10), an integrally formed distal end piece (12, 13) in a hollow hemispherical shape, and a cutting window (6, 11), wherein the outer tubular cutter (2) is non-rotatably mounted on a main body (3) and the inner tubular cutter (9) is mounted in a rotationally driven manner thereon, is characterised in that at least one of the end pieces (12, 13), in a hole (22) surrounding the axis of the associated shaft tube (4, 10), has an insert plate (14, 15, 16, 18) connected on the edge thereof to the edge of the hole (22).