A steering damper device includes a cylinder assembly having a plurality of fluid chambers providing a fluid circuit that is controlled by a control valve assembly which is operatively associated with a steering shaft to detect a steering force applied to the steering shaft. A flow rate control unit having a restriction for restricting a fluid flow in one direction is disposed in fluid passages which provide fluid communication between the fluid chambers through the control valve assembly. The steering damper device comprises an actuator in a hydraulically operated power steering apparatus including an oil pump and a reservoir tank. The cylinder assembly comprises a cylinder for generating an assistive steering force. The flow rate control unit restricts the flow flowing only from the control valve assembly to the oil pump.