To provide a control apparatus of a stably controllable flow regulating valve capable of reducing hysteresis due to backlash of the flow regulating valve and preventing hunting due to the hysteresis.

The control apparatus of the flow regulating valve equipped with a means of damping hysteresis of the flow regulating valve includes: a travel direction determination device for determining a travel direction as a target of an actuator; a hysteresis amount regulating device for adding or subtracting a hysteresis amount in the travel direction; and an addition/subtraction device for adding an output of the hysteresis amount regulating device to an opening degree instruction operation device of the flow regulating valve. The addition/subtraction device has a hysteresis amount correction function in which, each time the travel direction of the flow regulating valve changes, an amount corresponding to hysteresis from the travel direction determination device and the hysteresis amount regulating device is added to an instruction value of the opening degree instruction operation device of the flow regulating valve, according to the changing travel direction.