A process for producing a ceramic implant which is structured on the surface at least in the region in contact with bone and/or tissue is described. The process is characterized in that the ceramic implant after shaping and sintering is, in the region to be structured, I. reduced to the corresponding metal on the surface; II. the essentially metallic surface is subsequently subjected to a structuring surface treatment; III. the structure surface is oxidized. Furthermore, implants which have been provided with a topological structure on the surface by means of this process are described.