A method and CT scanner are proposed for the production of tomographic section images, in particular X-ray CT images, of a periodically moving object with periodically changing movement and rest phases. For scanning, a number of focus detector combinations with flat detectors are moved on coaxial spiral paths and movement signals from the moving object are measured at the same time in order to detect movement and rest phases. Further, the time correlation between the movement data and the detector output data stored and axial segment image stacks are then reconstructed independently of one another from sub-segments of the spiral paths using the detector output data from each detector which represent a rest phase of the moving object. Additionally, segment image stacks from the n spiral paths of the n focus detector combinations at the correct time are added up in a complementary angle form and in layers to form 180 tomography section images. The axial segment image stacks are reconstructed in a first step from double-inclined reconstruction planes. Further, in a second step, they are reformatted to produce axial segment image stacks, and detector data from a number of successive movement periods are used for this purpose.