A prosthesis for the replacement of an intervertebral disc of the spine comprises a block of an elastomeric material, which is held under compression by an encapsulating textile fabric. A preferred version of the invention has flanges that are continuations of the encapsulating fabric forming an interdigitation, with the continuation of the upper fabric passing through a hole in the lower fabric and being attached to the lower vertebral body and the continuation of the lower fabric crossing to its fixation site on the upper vertebral body. Optionally, the flanges are resorbable, over time leaving only the implant core and encapsulation fabric in the intervertebral space.