An electromagnetic and radiation shielding system includes an enclosure shaped to define a room interior which is accessible through a single passageway, and a door assembly for selectively enclosing the passageway. The door assembly includes a frame mounted within the passageway in conductive contact with a metal skin incorporated into the enclosure, a door with a conductive rear face which is adapted to selectively enclose the passageway, and a seal for selectively establishing continuous, peripheral contact between the frame and the rear face of the door when the door is disposed in its closed position. In this manner, the door assembly cooperates with the enclosure to form an electromagnetic barrier around the room interior in all directions. Additionally, both the enclosure and the door are constructed with a layer of radiation-shielding material to form a radiation barrier around the room interior in all directions.