Disclosed are a defrosting apparatus of an air conditioner and a method thereof. The defrosting apparatus includes a temperature sensor for sensing a pipe temperature of an outdoor heat exchanger and an outdoor temperature; a comparator for comparing the sensed pipe temperature of the outdoor heat exchanger and the sensed outdoor temperature, and generating and outputting a comparison signal; and a valve controller for increasing an opening value of an LEV (Linear Expansion Valve) at a defrosting operation and decreasing the opening value of the LEV at a defrosting operation termination. The apparatus and the method can increase efficiency of the defrosting operation and reduce a period of time required for performing the defrosting operation by determining the defrosting operation based on a difference between a pipe temperature of an outdoor heat exchanger and an outdoor temperature and increasing an opening value of an LEV at the defrosting operation.