A bone screw system includes a bone screw having a tulip that forms a seat for a longitudinal support for surgical connection of adjacent bone screws. The tulip has a tulip thread into which a clamping screw is screwed. The clamping screw has a clamping screw thread for locking the longitudinal support by clamping within the seat. The clamping screw thread is provided on the run-in side with a thread chamfer. The thread chamfer is introduced to the clamping screw thread while chamfering a thread elevation in the radial direction.