A plug and jack connector for multi-conductor cable is provided with shielding to attenuate EMI/RFI radiation passing into and out from the jack and/or plug and an arrangement for grounding electrostatic charge carried on the cable shield. The jack is designed for insertion into a printed circuit board and includes a front housing part formed of electrically conductive material, an insulative rear housing part and a plurality of contacts having leads which are totally enclosed within the housing. The front housing part is the shielding member of the jack and is adapted to be grounded, such as by mounting on a chassis. The plug is of modular construction. Shield apparatus surrounds the plug to provide interference attenuation and extends into a cable shield terminating portion of the plug cavity to electrically engage a conductive ferrule applied around the cable which engages the cable shield to provide a path for grounding the cable shield. The shield apparatus of the plug is adapted to be electrically coupled to the front housing part of the jack to provide a path for grounding electrostatic charge in the cable shield.