The invention relates to a knee endoprosthesis comprising a femoral component (1) which has two condylar surfaces (1a, 1b) for anchoring on the distal femur, comprising a tibial component (2) for anchoring on the proximal tibia, and comprising sliding surfaces between the two components (1, 2). It is proposed according to the invention that the entire femoral component (1), but at least its condylar surfaces (1a, 1b) are made of a solidly sintered ceramic for articulation with the tibial component (2), so that the knee endoprosthesis will have the least possible amount of abrasion with optimal reproduction of the anatomical and kinematic properties of the natural knee joint, in particular through suitable combinations of materials and by reducing the abrasion-generating surfaces. This is achieved by the fact that the tibial component (2) comprises a tibial baseplate (11) made of a solidly sintered ceramic which has a medial spherical bearing shell (7) on the upper face of the baseplate facing the femoral component (1). The medial spherical bearing shell (7) is an integral component of the tibial baseplate (11) and is formed in one piece with it, and the articulation surface of the medial femur condyle (1a) is also designed to be spherical, and together with the medial spherical bearing shell (7), forms a congruent ball joint. Laterally adjacent to the medial spherical bearing shell (7), a bearing shell (8) which enables rotation of the femoral component (1) and is formed by multiple radii in the anterior-posterior direction is arranged non-congruently with the femoral condyle (1b) and is either formed integrally with the tibial baseplate (11) or is an inlay that is movable relative to the tibial baseplate (11).