A steering unit of an electric vehicle is equipped with an electric motor having a tubular output shaft, through which a steering rod is assembled connected to the same output shaft by means of a recirculating ball screw-nut screw coupling so as to control the steering of a pair of wheels of the vehicle; the screw-nut screw coupling being defined by a train of balls engaged in a recirculating track made up of a first section made between the output shaft and the steering rod, of a second section made through the steering rod, and of two third sections connecting the first and the second section with one another.