The invention relates to a method, to an X-ray apparatus for performing the method and to a detector arrangement intended for the latter, for producing X-ray images containing a reduced proportion of scattered radiation. The X-ray radiation is detected in this case by a detector arrangement comprising two X-ray detectors, there being provided in the first X-ray detector openings through which the second X-ray detector is able to detect scattered radiation and primary radiation by separate detector elements. The signals given by the second X-ray detector are used to determine the proportion of scattered radiation that is contained in the image produced by the first X-ray detector and to largely free the first image of the proportion of scattered radiation.