Currently, ceramics based on solid solutions of zirconium dioxide tetragonal structure are common biomedical materials. In commercially common ceramics of orthopedic dentistry based on zirconium dioxide, the stabilization of the tetragonal shape is achieved by the introduction of yttrium or cerium cations. As a result of this scientific work, a ceramic material based on nanopowders of a system of zirconium dioxide and ytterbium oxide with high strength parameters has been developed. The results of the conducted research allow us to recommend the new Yb–TZP ceramics as an alternative to Y–TZP ceramic materials for restorations in orthopedic dentistry.