An electrically assisted, power steering system for motor vehicles having an input shaft (6) connected to a pinion shaft (2) by a torsionally elastic member (5) is supported in a steering housing (1) by a rolling bearing. The rolling bearing is formed as an elastic, flexible roller bearing (13), whose cylinder rollers (13.5, 13.6) have at least at one peripheral position an elastically deformable cylinder roller (13.6), having a diameter that is slightly greater than a diameter of the other cylinder rollers (13.5). In this way, an exact guidance of the input shaft (6) is achieved, so that the applied steering torque can be used accurately by an evaluation unit (15) for controlling the servo motor (7).