Surgical kit comprising: - an intervertebral implant with: - a stabilizing wedge adapted to stabilize at least two adjacent vertebrae by interposition between spinous processes of the vertebrae, having a substantially parallelepipedal body which has a defined main axis and in which is provided a recess having a defined longitudinal axis parallel to the main axis of the body of the stabilizing wedge; and - at least one strap forming a flexible link for fixing the stabilizing wedge to the spinous processes of the vertebrae to be stabilized, said strap having first and second portions (41a, 42a) which each comprising one of the opposite ends (41, 42) of said strap; and also - an implant holder having an elongate body along a defined longitudinal axis and with a first end and a second end, and having fixing means which are provided at the first end and which are adapted to cooperate with associated means provided at the body of the stabilizing wedge of the implant for fixing the implant holder to the body of the stabilizing wedge in such a way that the elongate body of said implant holder is in parallax with said recess; in which: - the recess provided in the body of the stabilizing wedge comprises an inner wall extending parallel to the longitudinal axis of the recess and has a defined shape; - at least the first strap portion can pass through the recess perpendicularly with respect to the longitudinal axis of said recess; - the intervertebral implant further comprises a blocking pin having a defined longitudinal axis and a defined shape substantially complementing the shape of the recess provided in the body of the stabilizing wedge, in order to come into engagement with said stabilizing wedge by movement in said recess in the direction of the longitudinal axis of said recess, so as to immobilize the strap with respect to the stabilizing wedge by clamping the strap portion between the blocking pin and the inner wall of the recess; and - the elongate body of the implant holder is tubular with an internal channel extending along the longitudinal axis of the elongate body of the implant holder and having an internal diameter slightly larger than the largest diameter of the blocking pin of the implant, in order to allow said blocking pin to be inserted and guided through said internal channel, as far as the recess provided in the body of the stabilizing wedge, in the direction of the longitudinal axis of said recess, when the implant holder is fixed to the stabilizing wedge. - an intervertebral implant with: - a stabilizing wedge adapted to stabilize at least two adjacent vertebrae by interposition between spinous processes of the vertebrae, having a substantially parallelepipedal body which has a defined main axis and in which is provided a recess having a defined longitudinal axis parallel to the main axis of the body of the stabilizing wedge; and - at least one strap forming a flexible link for fixing the stabilizing wedge to the spinous processes of the vertebrae to be stabilized, said strap having first and second portions (41a, 42a) which each comprising one of the opposite ends (41, 42) of said strap; and also - a stabilizing wedge adapted to stabilize at least two adjacent vertebrae by interposition between spinous processes of the vertebrae, having a substantially parallelepipedal body which has a defined main axis and in which is provided a recess having a defined longitudinal axis parallel to the main axis of the body of the stabilizing wedge; and - at least one strap forming a flexible link for fixing the stabilizing wedge to the spinous processes of the vertebrae to be stabilized, said strap having first and second portions (41a, 42a) which each comprising one of the opposite ends (41, 42) of said strap; and also - an implant holder having an elongate body along a defined longitudinal axis and with a first end and a second end, and having fixing means which are provided at the first end and which are adapted to cooperate with associated means provided at the body of the stabilizing wedge of the implant for fixing the implant holder to the body of the stabilizing wedge in such a way that the elongate body of said implant holder is in parallax with said recess; - the recess provided in the body of the stabilizing wedge comprises an inner wall extending parallel to the longitudinal axis of the recess and has a defined shape; - at least the first strap portion can pass through the recess perpendicularly with respect to the longitudinal axis of said recess; - the intervertebral implant further comprises a blocking pin having a defined longitudinal axis and a defined shape substantially complementing the shape of the recess provided in the body of the stabilizing wedge, in order to come into engagement with said stabilizing wedge by movement in said recess in the direction of the longitudinal axis of said recess, so as to immobilize the strap with respect to the stabilizing wedge by clamping the strap portion between the blocking pin and the inner wall of the recess; and - the elongate body of the implant holder is tubular with an internal channel extending along the longitudinal axis of the elongate body of the implant holder and having an internal diameter slightly larger than the largest diameter of the blocking pin of the implant, in order to allow said blocking pin to be inserted and guided through said internal channel, as far as the recess provided in the body of the stabilizing wedge, in the direction of the longitudinal axis of said recess, when the implant holder is fixed to the stabilizing wedge.