The invention relates to an implant system for fixing artificial teeth, containing dental implants which comprise an insertable base body (2) and a connecting part (14) that can be fixed thereon. The aim of the invention is to provide an implant system that requires few prefabricated components and can be easily adapted with respect to height and prosthetic axial deviation while complexity is to be reduced. In order to achieve said aim, the connecting parts (12) comprise an attachment (14) having a spherically curved outer contour (16) and one or more base parts (32) which have an inner contour or inner surface (44) for receiving or allowing the engagement of the correspondingly formed attachment (14) of the associated connecting part (12).
