A motor driving apparatus includes a motor driving unit, a low-voltage source, a current detecting element, and an insulation resistance degradation determinator. The motor driving unit includes an inverter coupled between a positive DC bus line and a negative DC bus line of a DC power source. The inverter converts DC power into AC power to drive an AC motor. The low-voltage source is coupled between a ground and at least one of the positive DC bus line and the negative DC bus line. The current detecting element detects a closed circuit current flowing through a closed circuit of the low-voltage source, the AC motor, and a part of the inverter. The insulation resistance degradation determinator makes a comparison between the closed circuit current and a predetermined threshold, and configured to determine, based on the comparison, whether an insulation resistance of the AC motor is degraded.