A broadcast receiving apparatus to minimize standby power and a method thereof. The broadcast receiving apparatus includes a sensor to detect variation in an inputted alternating current (AC) voltage and outputting a direct current (DC) voltage corresponding to the detection result, and a controller to detect variation in currents based on a digital voltage corresponding to the DC voltage and to determine the on/off state of an external apparatus, connected to the broadcast receiving apparatus, according to the detection result of the controller. Therefore, it is possible to determine whether the external apparatus is switched on or off according to a variation in power supplied to the external apparatus, to cut off a power supplied to the external apparatus based on the determination result, and to selectively control a power supplied to components of the broadcast receiving apparatus based on power saving data.