Abstract: A connector backshell assembly for wires or coaxial cables is provided in which a body and a cover define a housing therefor. An internal support member is mounted within the housing in the form of a split support which secures the wires or cables therebetween. A connector is mounted to the housing at the forward end thereof, which connector electrically engages the wires or coaxial cables. An exit clamp member mounted to such body proximate the aft end thereof, which defines a wide exit window, is provided for further securing such wires or coaxial cables as they exit the housing to thus provide double conductive member support and strain relief where such conductive members engage the connector e.g. when the conductive member or members are bent or twisted relative to the connector backshell assembly.