A system for charging a battery for a vehicle using a motor driving system that operates a motor having a plurality of windings is disclose. The system includes a first inverter having a plurality of first switching elements, a DC terminal connected to the battery, and an AC terminal connected to one terminal of the plurality of windings, a second inverter having a plurality of second switching elements, a DC terminal selectively short-circuited/opened with the DC terminal of the first inverter, and an AC terminal connected to the other terminal of the plurality of windings, and a controller configured to control an electric connection state between the DC terminals of the first inverter and the second inverter and an open/short-circuited state of the first switching elements and the second switching elements.