The beam collimator for the electron beam coming from an electron accelerator consists of aperture plates and penumbra trimmers aligned parallel to them. To protect the patient from scattered radiation, additional tube plates are arranged between the radiation source and the patient. Continuous matching of the radiation field to the dimensions of a focus is achieved by providing a support plate outside the beam path which holds the tube plates. In this arrangement, the tube plates are aligned parallel to the edges of the aperture plates limiting the beam cone. The tube plates have different widths. They can be moved out of the beam path. Lining the inner walls of the tube plates with acrylic glass prevents the generation of secondary electrons and X-rays.