Electrical connector, for connection to a magnetic ignition coil for an internal combustion engine, wherein said coil comprises a wire which has an insulating material covering and wherein said wire is wound on a support element, said electrical connector comprising: - a contact element made of conductive material which can be coupled to the support element on which the wire is wound, said contact element having two flexible walls, facing one another and adapted to come into contact with said support element, - at least one cutting element being situated on at least one of said flexible walls on an inner surface thereof which faces towards said support element, said cutting element being situated so as to cut into said insulating material covering of said wire, - and at least one end-stop element being situated on at least one of said flexible walls on said inner surface, - a flexible sleeve which can be mounted above and around said contact element to retain said contact element on said support element, - said contact element having an inoperative undeformed position in which said flexible walls are outwardly divergent from one another, in such a way that when said contact element is fitted over said support element said at least one cutting element of at least one of said flexible walls remains at a distance from said wire wound around said support element, - said flexible sleeve being situated above said contact element, in a preliminary pre-locking position, and being movable with respect to said contact element, after said contact element has been fitted over said support element, into a final operative position in which said flexible sleeve pushes said flexible walls of said contact element towards an inwardly inclined position in which said at least one cutting element cuts into said insulting material covering and comes into electric contact with said wire. - a contact element made of conductive material which can be coupled to the support element on which the wire is wound, said contact element having two flexible walls, facing one another and adapted to come into contact with said support element, - at least one cutting element being situated on at least one of said flexible walls on an inner surface thereof which faces towards said support element, said cutting element being situated so as to cut into said insulating material covering of said wire, - and at least one end-stop element being situated on at least one of said flexible walls on said inner surface, - a flexible sleeve which can be mounted above and around said contact element to retain said contact element on said support element, - said contact element having an inoperative undeformed position in which said flexible walls are outwardly divergent from one another, in such a way that when said contact element is fitted over said support element said at least one cutting element of at least one of said flexible walls remains at a distance from said wire wound around said support element, - said flexible sleeve being situated above said contact element, in a preliminary pre-locking position, and being movable with respect to said contact element, after said contact element has been fitted over said support element, into a final operative position in which said flexible sleeve pushes said flexible walls of said contact element towards an inwardly inclined position in which said at least one cutting element cuts into said insulting material covering and comes into electric contact with said wire.