A device for generation of x-ray radiation has one or more cold electron sources as a cathode and at least one x-ray target as an anode that are arranged in an evacuable housing. Upon application of an electrical voltage between cathode and anode, electrons emitted from the electron source are accelerated in an electron beam onto the x-ray target. A device for reduction of the proportion of positive ions in the region of the electron source is arranged between the electron source and the x-ray target in the housing. The device exhibits a long lifespan with good focusing capability and fast modulation capability of the electron beam.