To make steerability more satisfactory in conformity with actual operation, by correcting the regulation of a damping force based on a variable quantity which has a close relationship with the magnitude of kick-back and with which the steering conditions at the time of actual operation can be grasped appropriately, in contrast to the system in which the regulation of the damping force is controlled linearly in proportion to a variable quantity related to the magnitude of kick-back. In a steering damper system of the liquid pressure type in which a damping force is exerted on a front wheel steering system provided at a front portion of a vehicle body and which comprises a control valve for making the damping force variable, the damping force is controlled based on the steering speed.