A dust-sucking and air-cleaning composite structure is provided with a dust-sucking body and an air-cleaning body. The top surface of the air-cleaning body is provided with a vertically opening cavity. The cavity is recessed downward toward the interior of the air-cleaning body and has an opening facing upwardly. The inner profile of the cavity corresponds to the outer profile of the dust-sucking body, thereby allowing the dust-sucking body to be movably inserted into the cavity to be electrically coupled to the air-cleaning body.