An intervertebral disc prosthesis for total replacement of an intervertebral disc of the cervical or lumbar spine, the prosthesis comprising: an upper plate (2) having on its upper surface formations upward projection (3) that the anchor to a vertebra superior and a concavity (8) on its lower inner surface (16) surrounded by a rim (14)； a bottom plate (1) having on its underside formations downward projection (3) the anchor to a lower vertebra and a flat inner surface upper surrounding a guide (7) groove having flanking surfaces (6) extending from front to back； and an intermediate slide plate (13) between the upper (2) and bottom plate (1) having on its upper surface (15) convexity (4) surrounded by an annular (12) and which engages with the concave surface ( 8) on the inner surface (16) of the top plate (2), and on its lower flat surface a guiding (5) flange having sidewalls extending from front to back, wherein the sidewalls (8) of the guiding edge they are in contact with the flanking surfaces (6) of the guide groove wherein the end of the guide (5) flange has a larger dimension than a shaft guide (5) shoulder to prevent slippage of the guiding edge (5) out of the guide groove (7), wherein the stem is directly connected to the lower planar surface of the intermediate sliding plate and the guide groove (7) of the bottom plate (1) accommodates the guide (5) edge of the intermediate slide plate (13) allowing the guide (5) slide flange from front to back within the groove guide (7), wherein the guiding edge (5) is at least semi-elastic composition and comprises at least one open slot so that the guide (5) flange is elastically deformable by compression and fit into the groove guide ( 7), wherein the convexity (4) of the intermediate sliding plate (13), the concavity (8) of the top plate (2) and the annular surface adjacent convexity (4) and the adjacent edge of the concavity ( 8) allow limited extension, bending, lateral bending the right and left sides and the axia
