A stabilization implant for a facet joint of a first vertebrae, comprising a support module and a transfacetal fastening means, wherein the support module is provided on either side with a holder for the transfacetal fastening means, the transfacetal fastening means having a head and a main body traversing the facet joint. According to the invention, the transfacetal fastening means further comprises a super-head to form a stacked double-head arrangement, a top carrier on a top side of the transfacetal fastening means, and an upward extension element, which is pivotally attached to the top carrier, 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.