A method is disclosed for producing a computed tomography display of tissue structures by applying a contrast medium. A contrast medium is applied to a patient for better visualization of the tissue structure to be examined. An X-ray scan is performed during the presence of the one contrast medium, and computed tomography 2- or 3-dimensional pictures are subsequently reconstructed from the X-ray scan data obtained. In the method, absorption data are measured for at least two different energy spectra, a computed tomography intermediate image is reconstructed per energy spectrum, and the distribution of the one contrast medium in the tissue is determined from the different energy-specific absorption behavior between tissue and contrast medium.