Intervertebral implant has wedge elastically deformable

The invention concerns an intervertebral implant comprising a wedge designed to be pressed between two spinal processes of two spinal vertebrae. Said wedge comprises: two elements (14, 16) having each a first portion (18, 22) adapted to be linked to a spinal process and a second support portion (20, 24), the two support portions (20, 24) being located opposite each other; elastically compressible means (38) arranged between said second support portions (20, 24) and linking means (34, 36) separate from the elastically compressible means for linking said elements (14, 16) together, said linking means (34, 36) being capable of locking said two elements (14, 16) in translation relative to each other when said two elements (14, 16) are driven in mutually opposite directions.