A charging apparatus with alternating current- and direct current-charging functions for a mobile vehicle is disclosed. The charging apparatus receives an external direct current (DC) power source or an external alternating current (AC) power source and converts the DC power source or the AC power source into the required voltage and current for charging a rechargeable battery installed in the charging apparatus. The charging apparatus mainly includes a DC/DC conversion unit, an integrated DC/DC conversion and PFC unit, and a control unit. The control unit detects that the external power source is the DC power source or the AC power source. Furthermore, the charging apparatus controls the DC/DC conversion unit and the integrated DC/DC conversion and PFC unit according the type of the detected external power source, thus providing the required DC voltage level and charging current to the rechargeable battery.