An electrical connection device for a protective shield for a conducting cable, the protective shield comprising a metal layer of very small thickness, inserted between an electrical conductor or conductors of the conducting cable and an insulating outer jacket of the conducting cable, the electrical connection device comprises:
- a connector having a rigid body bearing on a region of a periphery of the conducting cable;
- a flexible filiform conducting element provided for encircling the conducting cable positioned in a transverse groove, the transverse groove hollowed out in the insulating outer jacket of the conducting cable, over at least a fraction of a circumference of the conducting cable, and reaching the metal layer;
- and
- means for securing an end of the flexible filiform conducting element to the body of the connector and for immobilizing, with controlled mechanical tensioning, of a part of the flexible filiform conducting element encircling the conducting cable.