Apparatus for a connecting point between high-voltage cables, each cable having a conductor, inner conductive layer, insulation, outer conductive layer, and a sheath over the outer conductive layer and in which the conductors, from which the surrounding layers have been removed, are conductively connected to one another. The arrangement has electrical screening elements and an integral elongated sleeve body, composed of elastic insulating material and a through-hole. The sleeve body has at its axial ends, which are intended for the cable to pass through, electrical control funnels which abut the outer conductive layers, from which the sheaths have been removed. The internal diameters of the through-hole in the sleeve body, at its axial ends, are for its use in a connecting point of cables, having an external diameter of their insulation which differs by at least 10 mm, different in a defined manner and adapted to the different external diameters.