An electrical steering system for a motor vehicle, having an electric motor having a worm gear which is made up of a worm and a worm wheel, coupled to an input shaft, having a ring gear, worm wheel forming one of the two coupling parts, that are to be coupled to each other, of an elastic compensation coupling whose other coupling part is connected, rotatably fixed, to the input shaft. The two coupling parts are coupled to each other only by one or by a plurality of elastic spacers.