An intervertebral fusion implant for the fusion of two adjacent vertebrae includes an elongate, adjustable support body, of which the lower and upper cover surfaces are designed to bear on end-plates of the adjacent vertebrae, wherein a side bracket is provided, which is pivotable laterally about a hinge, and of which the bottom face and top face are designed to bear on the end-plates. The support body furthermore is provided, on the cover surface thereof, with a lifting plate which, by means of a lifting mechanism, is adjustable in height between a retracted state and a raised state in which the lifting plate forms a bearing for one of the end-plates. Thereby, both adaptions of width as well as of height are achieved.