A control circuit with a bypass function includes a first signal terminal, a second signal terminal, an output terminal, a first switch unit to a fourth switch unit, an output switch unit and a bypass unit. The first signal terminal is used for receiving a first signal. The second signal terminal is used for receiving a second signal. The first switch unit is coupled to the first signal terminal. The second switch unit is coupled between the first switch unit and the output switch unit. The third switch unit is coupled to the second signal terminal. The fourth switch unit is coupled between the third switch unit and the output switch unit. The output switch unit is coupled between the second switch unit and the output terminal. The bypass unit is coupled between the first switch unit and the output terminal to provide a bypass path corresponding to the first signal.