In a steering-rack-equipped auxiliary power steering which is intended particularly for motor vehicles, a pinion (2), positioned in a steering housing (1), engages a steering rack (6). A servomotor (11) is operationally connected with steering rack (6) for auxiliary power support. Pinion (2) is positioned swingably in a fixed bearing (3) and a loose bearing (4). In the area of loose bearing (4), there are arranged two control valves (26, 27) whose axes are essentially perpendicular to the axis of pinion (2). Loose bearing (4) is guided in a movable fashion in steering housing (1), perpendicularly with respect to its axis only in the direction of the axes of the two control valves (26, 27). In this steering-rack-equipped auxiliary power steering, one can make sure that to activate the control valves, one will not use the axial forces that act upon pinion (2) but rather the lateral forces. As a result, the activation of the control valves is independent of the helix angle or slope angle of the pinion gearing.