The invention concerns an intervertebral dynamic fixation implant intended for stabilization of the lumbar spine in one or more intervertebral segments, comprising: an intervertebral wedge extending along a vertical axis, comprising two craniocaudal notches intended for receiving the spinous processes of two lumbar vertebrae Ln and Ln+1, a vertical channel being arranged on the two lateral faces of said intervertebral wedge, a rigid strip covering a portion of the back face and of the two lateral faces of the intervertebral wedge, so as to leave a passageway in the vertical side channels, at least one hole passing through the intervertebral wedge from one lateral face to the other, in the caudal portion of the rigid strip, two pedicle screws fixed to the lumbar vertebra Ln+1, comprising a system for tensioning and attaching a braid Tn which wraps around the spinous process of lumbar vertebra Ln and passes through the passageways of the side channels of the intervertebral wedge, a rod perpendicular to the vertical axis of the intervertebral wedge, connecting the two pedicle screws by passing through said at least one hole located in the caudal portion of the rigid strip.