The invention discloses a cleaning device of an extractor hood, a control method of the extractor hood and the extractor hood. The cleaning device of the extractor hood comprises a volute, a wind wheel, a water containing box, an oil containing cup, a water inlet pipeline, a water drain pipeline, an oil drain pipeline and a control valve. The water inlet pipeline is used for inletting fluid into a mounting cavity, the water drain pipeline is used for draining the fluid in the mounting cavity, and the control valve is used for controlling on and off states of the water inlet pipeline and the water drain pipeline. The control valve has a first state, a second state and a third state; when the control valve is in the first state, both the water inlet pipeline and the water drain pipeline are disconnected; when the control valve is in the second state, the water inlet pipeline is connected, and the water drain pipeline is disconnected; and when the control valve is in the third state, the water inlet pipeline is disconnected, and the water drain pipeline is connected. According to the cleaning device of the extractor hood, under the premise of guaranteeing normal operation of the extractor hood, the extractor hood can be effectively cleaned.