The present invention provides a flapping apparatus with a large flapping angle. The flapping apparatus includes a frame, a drive motor, a slider, connection links, actuating links and wings. The frame includes I-shaped plates which face each other in parallel, and coupling rods which couple the opposite corners of the upper ends of the I-shaped plates to each other. The drive motor is fastened to the frame such that a rotating shaft thereof is disposed inside the frame. The slider includes lateral bars which are reciprocated upwards and downwards. The connection links are rotatably coupled at first ends thereof to both ends of the lateral bar. The actuating links are rotatably coupled at first ends thereof to second ends of the connection links. The actuating links are rotatably coupled at second ends thereof to the coupling rods. The wings are respectively attached to the upper surfaces of the actuating links.