An apparatus for removing an inner sheathing of electrical conductors of a preferably multi-core cable comprises at least one holding arrangement/clamping device for axial and rotational clamping of the cable and a cutter assembly (1, 21) that can be rotated about the cable longitudinal axis, to the cutters of which a force can be applied in the direction of the cable axis. The at least one cutter (24, 26) comprises a contact surface (26) provided for placing on the surface of the inner sheathing and directly adjacent thereto a cutting edge (24), which protrudes beyond this contact surface (26).