A cutting insert has a bottom supporting surface, a center cutting edge, two secondary cutting edges, realized on both sides of the center cutting edge and offset in relation to the center cutting edge, and two transition edges connecting the center cutting edge to the secondary cutting edge adjacent in each case. The two secondary cutting edges are realized in each case vertically offset and, where applicable, also offset in depth with respect to the center cutting edge and are laterally spaced from the center cutting edge. The transition edges, in each case in a non-edge-overlapping region, have at least over a portion an inclination n where 2°≦n≦20° in relation to a height direction which extends at right angles with respect to a main extension plane of the supporting surface.