The present invention relates to a connection element for a spine stabilization system comprises a first end for fixing to a first bone fixation device, a second end for fixing to a second bone fixation device and an intermediate portion arranged or formed between the two ends and defining a longitudinal axis. At least one of the two ends takes the form of a coupling element for fixing the connection element to a bone fixation device in at least one defined orientation relative to the longitudinal axis. The coupling element has a shape other than a circular cylinder.