Abstract: A method produces components from high-temperature-proof fiber reinforced composite ceramics from tapes containing carbon fibers. Heating and simultaneously compacting under the influence of pressure and temperature produces a force-locking connection in the region of the contact zones. The prebody is carbonized. At least one post-compaction of the prebody is followed by a carbonization of the prebody, in which the tapes are separated from the adjoining tapes in the region outside the contact zones by graphite spacers and inserted into a clamping device. The clamping device is made substantially of graphite. As a result, the tapes and the prebody that is formed therefrom are securely fixed during the processing steps. The components can be utilized as workpiece carriers, carriers for optical components, and in the aerospace field.