A stabilization implant for a facet joint of a first vertebrae includes a support module and a transfacetal fastener, wherein the support module is provided on either side with a holder for the transfacetal fastener, the transfacetal fastener having a head and a main body traversing the facet joint. The transfacetal fastener may include a super-head to form a stacked double-head arrangement, a top carrier on a top side of the transfacetal fastener, and an upward extension element, which is pivotally attached to the top carrier and which reaches upward and has a fixation portion at its upper end, the fixation portion configured for an oblique fastening to cortical structure of a second, adjacent upper vertebrae.
