A method is disclosed for scattered radiation correction of a CT system including two simultaneously operated focus/detector systems, arranged angularly offset from one another on a rotatable gantry. In an embodiment of the method, in order to scan an object, the two focus/detector systems arranged angularly offset from one another scan the object by virtue of the fact that they rotate about a system axis of the CT system. A multiplicity of absorption values of individual rays are then determined from the measured attenuations of the radiation of the foci and the measured values are subjected to scattered radiation correction. The positive differences for the direct rays are determined in channelwise fashion from the intensity values of the direct rays and the intensity values of the “complementary” rays removed by 180°, and this positive difference is subtracted as scattered radiation correction from the intensity value of the direct ray to determine the attenuation values and to thereafter reconstruct CT tomograms or CT volume data.