Conductor-clamping apparatus for clamping contacting of at least one multi-wired electrical conductor, comprising a contact housing with a housing base and with housing walls which are formed integrally on the base longitudinal edges of said housing base and which have angled portions at their free ends, wherein the angled portions are formed in such a way that, on each angled portion, there are formed a front insertion region in the insertion direction of the multi-wired electrical conductor and an adjoining clamping region, wherein, in the insertion region and in the clamping region, the respective angled portions are formed in such a way that, for the inserted multi-wired electrical conductor, there is formed a conductor abutment which, as seen in cross section, is V-shaped, and there are formed two abutment regions, extending in the conductor longitudinal direction, for the multi-wired electrical conductor, and, in the region of the clamping region, there is fastened to the housing base a clamping spring which has at least one spring limb projecting from the housing base, so that the inserted multi-wired electrical conductor can be pushed against its conductor abutment by way of the spring force of the clamping spring, wherein the clamping region is adjoined by a rear end region in the insertion direction and said end region has a conductor abutment which, in terms of its cross-sectional shape, is adapted to the V-shaped conductor abutment of the insertion region, wherein the V-shaped angled portions, in the insertion region, in the clamping region and in the end region, are formed from two V limbs (16, 17) which include an angle ≥ 90°, wherein a maximum permissible diameter is that diameter which is specified for a diameter range of the electrical conductor that is permitted for the respective conductor-clamping apparatus, wherein said diameter range defines a minimum diameter and a maximum diameter, wherein the maximum diameter is determined by the distance of an extension portion formed integrally on the free end of the angled portion from the housing wall connected to the angled portion, wherein the mutual distance between the ends of the V limbs (16, 17) in the region of the insertion region and of the clamping region has a distance which is equal to the maximum permissible diameter of the multi-wired electrical conductor, and wherein the mutual distance between the ends of the V limbs (16, 17) in the end region has a distance which is greater than the maximum permissible diameter of the multi-wired electrical conductor, and, in the end region, the angled portions are formed extended at their free ends in such a way that, in the end region, the angled portions extend in the direction of the housing base at least over half the height of the inserted and clamped multi-wired electrical conductor with maximum permissible diameter, wherein the extension portion formed integrally on the angled portion in the end region extends parallel to the housing walls and in the direction of the housing base and at a distance greater than the maximum permissible diameter of the multi-wired electrical conductor, wherein, at least over half the diameter range of the multi-wired electrical conductor, in the end region, provision is made of a lateral guide in such a way that displacement of the individual conductor wires or conductor stranded wires in the direction of the adjacent electrical conductor is prevented, and that it is ensured that, owing to the pressing force, acting in the clamping region, on the multi-wired electrical conductor, the latter cannot fan out in the end region owing to displacement of the individual conductor wires or conductor stranded wires.