An electrical connector comprises a contact element capable of being coupled to a support element on which a wire is wound and a flexible sleeve mounted around the contact element to retain the contact element on the support element. The contact element has an inoperative undeformed position in which flexible walls of the contact element are outwardly divergent from one another and, when the contact element is fitted over the support element in the inoperative undeformed position, a cutting element of the contact element remains at a distance from the wire. The flexible sleeve is movable into a final operative position in which the flexible sleeve pushes the flexible walls toward an inwardly inclined position in which the cutting element cuts into the insulating material of the wire and forms an electrical connection with the wire.