A radiation image pickup apparatus allowed to restore a change in characteristics in a pixel transistors caused by radiation, and a method of driving the same are provided. The radiation image pickup apparatus includes: a pixel section including a plurality of unit pixels and generating an electrical signal based on incident radiation, each of the unit pixels including one or more pixel transistors and a photoelectric conversion element; a drive section for selectively driving the unit pixels of the pixel section; and a characteristic restoring section including a first constant current source for annealing and a selector switch for changing a current path from the unit pixels to the first constant current source at the time of non-measurement of the radiation, and allowing an annealing current to flow through the pixel transistor, thereby restoring characteristics of the pixel transistor.