Implant structure consisting of an implant and an attachment. The attachment is provided with a first coupling part for connection to the implant and provided with a second coupling part for connection to a prosthesis. The second coupling part may include a ball, cone, polygon or cylinder or the like. It is proposed, according to the invention, to construct the attachment from two connectable attachment parts. In this manner, it is possible to achieve an angled attachment which ensures good accessibility to the connecting screw of the first coupling part without special openings having to be provided in the attachment. In addition, the angle between the two attachment parts can readily be changed to suit requirements by varying only one of the attachment parts. After fitting, a structure with a smooth wall is produced.