Diffraction enhanced imaging is a new X-ray radiographic imaging method using monochromatic X-rays from a synchrotron source which produces high contrast and spatial resolution images of thick absorbing objects. Use of this method in medicine, material science and industrial applications in non-destructive testing is highlighted at present. The purpose of this study is to discuss diffraction enhanced imaging computer tomography which combines computer tomography (CT) and diffraction enhanced imaging (DEI) method. Comparison between DEI-CT images with conventional X-ray CT images shows that the DEI-CT imaging technique gives not only surface information but also the internal structure of organs or soft tissues with high contrast. The obtained images show the micro-structures details of DEI-CT.