An explosion resistant waste container (10) includes an outer open-topped container (16). The outer open-topped container (16) is sized to receive an inner open-topped container (12) and leave a space therebetween. Both the outer open-topped container (16) and the inner open-topped container (12) are cylinders made of sufficiently strong materials, e.g. 11 gauge steel, for withstanding the forces of an explosion. A reinforcing material (14), e.g. reinforced concrete, is disposed within the space between the outer open-topped container (16) and the inner open-topped container (12). The outer open-topped container (16) and the reinforcing material (14) reinforce the inner open-topped container (12) so as to provide greater resistance to deformation caused by explosions and to shield surrounding persons and property from the explosive forces.