The invention relates to a method and device for imaging a cyclically moving organ of a human or animal body, with a device supported such that it can be rotated at an angular velocity around the body recording images of the organ from different angle positions, with the angular velocity being modulated with a reference signal representing the movement phase of the organ. During the rest phase of the organ images of the organ are recorded at nominal angular speed. In the movement phase of the organ the device is slowed down, turned back and accelerated again such that on entry into the next rest phase the device records images for the next angle range at nominal angular velocity without major angle gaps in respect of the previous angle range, to generate the most complete data record possible.