Battery charging apparatus and battery charging method thereof

Disclosed is a battery charging apparatus. The battery charging apparatus includes a charging plug (110) receiving an AC power supplied from an outside, a plurality of charging units (120, 130) individually converting the AC power received through the charging plug (110) into a DC power, a battery (140) storing the DC power output through at least one of the charging units (120, 130), and a charging control unit (150) comparing a specification of the battery (140) with specifications of the charging units (120, 130), determining at least one of the charging units (120, 130) to be used for charging of the battery (140), and controlling the charging of the battery (140) by the at least one charging unit (120, 130) that is determined.