A radiation-irradiation system includes a radiation generating device that includes an exposure switch unit and a display device that includes a touch panel; the display device is adapted to be detachably mounted on the radiation generating device and displays an exposure switch mark on the touch panel; and an emission control unit validly receives only an irradiation instruction for radiation of the exposure switch unit in a case in which the display device is installed on the radiation generating device, and validly receives only an irradiation instruction for radiation of the exposure switch mark in the case of a state in which the display device is separated from the radiation generating device.