The invention relates to an intervertebral implant comprising: a spacer (12); a braid (14) for fixing said spacer between the spinous processes of two adjacent vertebrae; and a clamping device for clamping said braid. The clamping device comprises: a fixed part (28) constituted by a portion of said spacer (12) and defining at least one first clamping surface for clamping said braid; a mobile assembly (28) movable relative to said spacer (12) and defining at least one second clamping surface for clamping said braid; and displacement means for moving said moving assembly (30) relative to said fixed part (28) to displace said mobile assembly between a first position in which said first and second clamping surfaces face each other but are apart to define a free passage for a portion of the braid (14), and a second position in which said first and second clamping surfaces are moved towards each other to clamp said portion of braid (14).