Disclosed herein is a motor control apparatus and a method thereof. A phase error of the reference voltage output corresponding to a time delay caused by digital control may be compensated to stably control a motor, thereby improving the stability of a system. The phase compensation unit may be provided therein to convert a reference voltage of the synchronous coordinate system into a reference voltage of the stationary coordinate system when controlling the high-speed operation of the motor, thereby compensating a phase error of the reference voltage output, and allowing the motor to be operated at a high speed while maintaining its efficiency and reducing a volume of the compressor.