A snivel suction apparatus includes a suction mechanism and an air extraction mechanism. The air extraction mechanism is connected to the suction mechanism. The air extraction mechanism includes a pump, a piston, a communicating tube, a first check valve and a second check valve. The piston is arranged on the pump. One side of the communicating tube is connected to the pump. The other side of the communicating tube is connected to the suction mechanism. The first check valve is arranged in the pump and at one side of the communicating tube. The second check valve is arranged on the pump.