A multi-member Bluetooth device includes: a main Bluetooth circuit capable of directly communicating with a remote Bluetooth device through a Bluetooth transmission approach; and an auxiliary Bluetooth circuit capable of indirectly communicating with the remote Bluetooth device through the main Bluetooth circuit. After operating for a certain period, the main Bluetooth circuit transmits the main Bluetooth circuit's device identification data and multiple Bluetooth connection parameters between the main Bluetooth circuit and the remote Bluetooth device to the auxiliary Bluetooth circuit. When received instructions from the main Bluetooth circuit, the auxiliary Bluetooth circuit utilizes the device identification data and the multiple Bluetooth connection parameters transmitted from the main Bluetooth circuit to directly communicate with the remote Bluetooth device through a Bluetooth transmission approach by imitating the main Bluetooth circuit, and the main Bluetooth circuit then indirectly communicates with the remote Bluetooth device through the auxiliary Bluetooth circuit.