End segments of cables are stripped of their individual shielding coverings so as to form unit shielding pigtails extending from a terminal portion of the strand from which shielding has not been removed and around which a conductive packing strip has been wound so as to reach a predetermined diameter. The pigtails are folded back and distributed uniformly around the circumference of the terminal portion of the strand in the successive turns of the packing strips. The packing strip is clamped by an annular reinforcing spring blade, and then the assembly is surrounded within two half-shells that are coupled to each other and connected to the connector.