A motor driving apparatus includes a rectifying circuit to rectify an AC power supplied from an external AC power source, one pair of film capacitors to output a DC voltage and a neutral point voltage by removing a ripple of a voltage rectified by the AC-DC conversion unit, a 3-level inverter to supply a driving current to a motor using the DC voltage applied from the DC link unit, and a control module to control the 3-level inverter. The control module includes a motor speed control module to control the rotation of the motor, a DC voltage control module to stabilize the DC voltage, a neutral point voltage control module to stabilize the neutral point voltage, and a stabilizing voltage limiting module to control the DC voltage control module and the neutral point voltage control module according to an output of the motor speed control module.