Intervertebral disc prosthesis for the complete replacement of an intervertebral disc within the cervical or lumbar columns, comprising at least one upper sliding partner (1) adapted to firmly assemble its outer surface with an upper vertebral body and a lower sliding partner (2) additional adjacent adapted to firmly assemble its outer surface with a lower vertebral body, and adjacent upper and lower sliding partners (1, 2) are articulated by articulation surfaces on their opposite internal sides, which comprises an articulation area with a convexity (8) on a sliding partner and a concavity (5) on the other sliding partner, in which a. a first of the adjacent upper and lower sliding partners (1, 2) has a recess (7) with a lower surface and four lateral surfaces, in which the recess (7) is located within the convexity (8) or the concavity (5) of the first sliding partner, and b. a second of the adjacent upper and lower sliding partners (1, 2), which articulates with the first sliding partner has a protuberance (4) with four lateral surfaces and a pointed surface, in which the protuberance (4) it is arranged within the concavity (5) or the convexity (8) of the second sliding partner, and c. an inlay (3) comprises a notch (6) for the acceptance of the protuberance (4), wherein the inlay (3) is located within the recess (7) of the first of the upper and lower sliding partners (1, 2 ) adjacent, and d. the inlay (3) has i. a surface of the convex or concave upper joint that surrounds the notch (6), which has a radius of curvature identical to that of the surface of the convex or concave joint of the first of the adjacent upper and lower sliding partners (1, 2) , and, ii. a surface of the concave or convex lower joint that surrounds the notch (6), which has a radius of curvature identical to that of the surface of the concave or convex joint of the bottom of the recess (7) of the first of the upper sliding partners e lower (1, 2) adjacent, and iii. four external lateral su
