In this paper, a solution of remote background radiation monitoring, based on the concept of Wireless Sensor Network (WSN), is presented. Radiation dose rate measured by the sensor node is sent to the monitoring station through ZigBee wireless network operated on 2.4GHz unlicensed Industrial Scientific Medical (ISM) band. Power consumption of the sensor node is kept low by operating the node ZigBee radio with low duty cycle i.e. by keeping the radio awake only during data transmission/reception. Two ATmega8 microcontrollers are programmed to perform interfacing, data processing and control functions.