A fiber optic cable external shield connector grounds a fiber optic cable having both a corrugated conductive shield and a strength member without removal of the outer protective layer of the fiber optic cable. The connector has a grounding cover and a cooperative grounding base each with an electrically conductive grounding assembly having an array of prongs. Bosses of the cover and bosses of the base are fastened together to force the prongs of the conductive assembly to pierce the outer non-conductive sheath of the fiber optic cable. The prongs cooperatively pinch the strength member to ultimately connect the corrugated shield and strength member to an outside ground.