Device and method for ldc control of hev

A device and a method for driving LDC of a hybrid vehicle are provided to maintain a power quantity of a sub battery and drive the vehicle with an engine by generating a power through a driving of a motor connected to the engine. A device for driving LDC of a hybrid vehicle comprises a high voltage battery(10), a main relay(12), a DC-DC converter(16), an MCU(Motor Control Unit)(18), a load(20), a motor(22), and an engine ECU(Engine Control Unit)(26). A capacitor is connected to the high voltage battery through the main relay. The DC-DC converter is connected to an output terminal of the capacitor. The MCU calculates a requested current value of the load. The load is connected to the out terminal of the DC-DC converter. The motor is connected to an output terminal of the MCU. The ECU is connected to the output terminal of the MCU to drive the engine connected to the motor in series.