A dual-chargeable battery pack in a power supply is disclosed. The dual-chargeable battery pack comprises a main body provided with an electrical energy storage device, a first connecting device and a second connecting device. The first connecting device comprises a first charging terminal set and a first power output terminal set, wherein the first charging terminal set is configured to receive an input of a first power for outputting to the electrical energy storage device. The second connecting device comprises a second charging terminal set which is configured to receive an input of a second power for outputting to the electrical energy storage device. The electrical energy storage device is configured to output the electrical energy accumulated therein as a third power through the first power output terminal set. The second power is different than the first power.