The present invention provides kneading/extruding equipment capable of stable operation by keeping the pressure of kneaded material before a first-stage gear pump in steady operation (molding) and preventing fluctuation of the pressure of kneaded material before the first-stage gear pump constant from largely affecting the pressure of kneaded material before a latter-stage gear pump at start-up or upon change of production rate, and thus capable of responding to an increase in production rate while securing a high-quality molded product, and an operation control method thereof. The kneading/extruding equipment comprises: a rotational speed feedback control unit for a first gear pump, which feedback-controls the rotational speed of the first gear pump, and a rotational speed feedforward control unit for a second gear pump, which feedforward-controls the rotational speed of the second gear pump.