A method can be applied for manufacturing an electrical connector on an end portion of a multi-wire electrical cable whose wires are surrounded annularly in cross section in the end portion by an outer conductor. The outer conductor is partially radially compressed toward the wires by at least one die, and is also partially provided with an overmold in an injection mold. In the method, after the outer conductor is deformed, the die is positioned on the outer conductor in such a way that the die partially bounds a mold cavity to be filled with a plasticized molding compound to form the overmold. At least one mold part of the injection mold is moved toward the outer conductor and the mold part is positioned in a vicinity of the outer conductor so to further bound the mold cavity.