A charging apparatus for charging a rechargeable battery, such as a Lithium-ion type battery. The charging apparatus is provided with a first current stabilized unit and a second current stabilized unit for stabilizing two different levels of electric current. The first current stabilized unit provides a relatively large electric current for charging the battery package. The second current stabilized unit provides a relatively small electric current for charging the battery package. A switching unit is provided for switching a connection of the first and second current stabilized units to provide current to the rechargeable battery. A detection unit is provided for detecting an electric voltage at terminals of the rechargeable battery. The detection unit controls the switching unit so as to switch connection of the first and second current stabilized units to provide current to the rechargeable battery based on the detected voltage.