Disclosed are an electronic parking brake system and a control method thereof. The electronic parking brake system according to an embodiment of the present disclosure which comprises an EPB (Electronic Parking Brake) actuator operated by an electric motor, comprises a motor driving unit for driving the electric motor of the EPB actuator, a current sensing unit for sensing a current flowing in the electric motor, and an electronic control unit for accumulating an electric charge amount put into the electric motor from the time when a motor current change rate is higher than a preset change rate if the motor current change rate according to the motor current sensed through the current sensing unit during a parking operation is higher than the preset change rate and determining a stuck failure of the electric motor based on the accumulated electric charge amount.