A dental-implant system having a first implant part provided for being inserted into a jawbone and having a second implant part associated therewith, provided for fixing a dental prosthetic piece, the implant parts being mechanically connectable to each other via a connection pin which is formed onto one of the implant parts and which can be pushed into a receiving channel provided in the other implant part, and the cross-section of the connection pin and the cross-section of the receiving channel associated therewith each presenting in an indexing area a number of main directions in which the radius takes in each case a relative maximum value, shall offer an even increased mechanic load-carrying ability and thus a particularly long service life when used in the patient's mouth. For this purpose, according to the invention, the outer cross-section of the implant part including the receiving channel is configured such that its radius also takes a relative maximum value within a tolerance range of each of the main directions.
