Abstract: An electrical connector comprising an insulative housing, a pair of inmoulded terminals and a separate core support member, makes electrical contact with a twin core flexible conductor comprising a flexible elastomeric outer tube and flexible spaced apart inner conductors. The core support member comprises a core section substantially filling the inner space formed by the conductors and tube thereby providing support to the flexible tube conductor such that pin sections of the terminals can be sandwiched between the conductors and the core section and additionally sandwiching the flexible outer tube between strain relief projections of core support member arms and the core section for securely fixing the connector thereto. The connector is of a cost-effective and simple construction that is also easy to assemble.