The present invention relates to a dual- or multi-source CT system and method. For suppressing or even completely eliminating the negative effects of cross-scatter, the proposed CT system comprises two x-ray sources (10, 11), two detectors (13, 14), two read-out units (15, 16), a control unit (17) and a reconstruction unit (19). Further, a scatter correction unit (18) is provided or the read-out units (15, 16) are configured to generate scatter-corrected read-out signals from the detected radiation, wherein a scatter-corrected read-out signal is generated from the radiation detected by a detector during a single projection interval (I) including multiple repetitions of three phases, in which the sources are alternately switched on and off and in which the read-out units alternately register primary radiation or cross-scatter radiation.
