The invention relates to a cutting insert, in particular for a milling work, with a basic body which respectively has on opposite sides peripheral cutting edges, which protrude beyond the respectively adjoining face regions (15), descending at a positive rake angle, in the middle of which one or more planar supporting surfaces (16) are arranged, and with a central fastening hole (12) for receiving a tensioning screw. Arranged around the central fastening hole is at least one conical surface (19), with a cone descending inwards, i.e. towards the fastening hole.