Provided is a low-power ZigBee device provided with a sleeping mode and an active mode including a power supplying unit for supplying a power; a Medium Access Control (MAC) processing unit for receiving a wake-up packet and for controlling a modem unit and an Radio Frequency (RF) unit; and a Central Processing Unit (CPU) for receiving and processing a data packet, wherein the MAC processing unit makes the power supplying unit apply a power to the CPU based on a result of checking an identification (ID) of the wake-up packet.