A steering system in an automobile comprising a steering wheel and a steering shaft rotatable together with the steering wheel, a steering linkage connecting between spaced wheel carriers, a steering gear connecting between the steering shaft and the steering linkage for, when the steering wheel is rotated in one of the opposite directions from a neutral position, causing the steering linkage to displace in one of the opposite directions generally longitudinally thereof for steering the road wheels, an adjustable damper capable of exerting an adjusted damping force and disposed between a portion of an automobile body structure and a portion of the steering linkage for minimizing an oscillatory motion of the steering linkage in a direction generally longitudinally thereof, a valving mechanism for adjusting the damping force exerted by the damper, a detector for detecting a parameter representative of the steered condition of the road wheels and generating an output indicative of the parameter when the parameter detected thereby deviates from a predetermined quantity, and a control unit operable in response to the output from the detector for generating a control signal. The valve mechanism is activated in response to the control signal to reduce the damping force exerted by the damper.