An electrical connector having a generally tubular housing connects the conductors of an electrically-shielded cable with an electrical component, including a injection-molded electrically-conductive synthetic plastic bridge arrangement connecting the cable shield layer at a stripped end of the cable with a connector shield member arranged on the connector housing into one end of which the conductors are introduced. An injection-molded annular carrier layer of insulating synthetic plastic material is molded concentrically about the conductor ends, one end of the carrier layer extending within the conductive bridging layer, and the other end extending within the bore of the connector housing into which the conductor ends extend. Consequently, the connector is structurally reinforced to resist the forces and stresses of vibration and shock.