Radon, thoron and their progeny concentration have been measured in dwellings located within a 90 km2 area around a nuclear power plant using solid-state nuclear track detectors. Time-integrated measurements were carried out on a four-month cycle, making three measurements in each dwelling throughout the year. In total, 145 dwellings were selected for the study. The measured values of gas and their progeny concentrations were used to determine the equilibrium factor for radon and thoron indoors and annual inhalation dose. The average value of the equilibrium factor indoors was found to be 0.44 ± 0.23 for radon and 0.015 ± 0.010 for thoron. The annual inhalation dose for the public living around this plant was found to be 0.97 ± 0.55 mSv. Results were analysed for different seasons and different categories of dwellings for their construction type.