The invention relates to a knee endoprosthesis comprising a femoral component (1) which has two condyle 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). The aim of the invention is a knee endoprosthesis which has as little abrasion as possible while optimally reproducing the anatomical and kinematic properties of the natural knee joint, in particular by means of suitable combinations of materials and by reducing the abrasion-generating surfaces. This isachieved in that the entire femoral component (1), but at least the condyle surfaces (1a, 1b) thereof, for articulating with the tibial component (2) consists of a rigidly sintered ceramic, and the tibial component (2) comprises a tibial baseplate (11) consisting of a rigidly sintered ceramic, said baseplate having a medial spherical bearing shell (7) on the baseplate upper face facing the femoralcomponent (1). The medial spherical bearing shell (7) is an integral component of the tibial baseplate (11) and is integrally formed with the tibial baseplate, and the articulation surface of the medial femur condyle (1a) is likewise spherically shaped and together with the medial spherical bearing shell (7) constitutes a congruent ball joint. A bearing shell (8) which allows the rotation of thefemoral component (1), is made of multiple radii in the anterior-posterior direction, and is arranged non-congruently with the femur condyle (1b) is arranged laterally adjacent to the medial sphericalbearing shell (7), said bearing shell (8) either being formed integrally with the tibial baseplate (11) or being an inlay which is movable relative to the tibial baseplate (11).