Self-stripping connecting device for a sheathed electrical conductor

This connecting device has a conducting core ( 9 ) surrounded by an insulating sheath ( 7 ), of the type having: an interconnecting part ( 2 ) provided with at least one stripping and connecting jaw ( 4 ) formed by a tubular body ( 5 ) that, in one face, has a stripping and holding slot ( 6 ) designed to cut insulating sheath ( 7 ), for connecting and holding the conducting core of cable ( 8 ), down to conducting core ( 9 ), and an insulating housing ( 3 ) defining at least one connecting chamber ( 15 ) which contains the stripping jaw ( 4 ) and which has, in a wall located opposite stripping slot ( 6 ), a gripping slot ( 16 ) designed to pinch the insulating sheath ( 7 ) of cable ( 8 ). The gripping slot ( 16 ) is at least partially offset laterally from the stripping slot ( 6 ).