The invention relates to knee surface replacement prosthesis comprising a femoral component (1) provided with lock pins and a plastic tibial component (2) placed in a metal tray (3) fixed to the tibia by means of a pin or a screw. The knee surface replacement prosthesis is characterized in that the external surface of its femoral component (1) having a movement determined by their conical surfaces is formed in accordance with its logarithmic spiral generatrix (4) while its internal surface corresponds to the conical spiral generatrix (5).