A dental implant system includes an anchoring part of a ceramic material for anchoring in bone tissue, an abutment of ceramic material, and an abutment screw. The anchoring part has a recess that is open towards a coronal end for engagement of a fastening post of the abutment. The abutment has an opening that is continuous in the axial direction and into which the abutment screw can be inserted. The abutment screw is configured, for a fastening of the abutment to the anchoring part, to engage into an inner thread that is formed on the anchoring part in the recess or is present on an insert element that is inserted into the recess. The abutment screw has a screw head, and a shoulder, which is formed coronally and which together with the screw head forms a stop on inserting the screw into the opening, is present in the opening.