The device connects a current connection disposed in the steering column of a motor vehicle to a current connection which is arranged in the steering wheel hub and which moves therewith. The electrical connection is made by a flat conductor cable which is diposed in the steering wheel hub and which is wound in a spiral. For mechanically strengthening the cable is enclosed in plastic sheathings in its transitional regions between the spiral and the ends which extend away at 90° The sheathings are also of such a configuration that they are located to a housing which accommodates the spiral.