In an intervertebral implant with at least one contact element having a vertebral body contact face and with a swellable core, which is connected to the contact element on the side remote from the vertebral body contact face, wherein the contact element comprises a support, on one side of which the vertebral body contact face is arranged and which on its other side carries projections surrounded by the material of the core, in order to improve the connection between the core, on one side, and the support, on the other, it is proposed that the projections have elongated, thread-like or rod-like anchoring sections, which extend at a spacing from the support and are freely accessible from all sides.