The invention relates to a device intended for connecting a prosthesis to a dental implant or directly to the jawbone of a patient, of the type including a pier (1) provided with a frustoconical head (13) with a half-cone angle (A) and a linking capsule (3) provided with a frustoconical cavity (31) suitable for receiving said head. The device according to the invention is essentially characterised in that the value of the angle (A) is equal to that of the angle (B), which corresponds to the maximum angle of an implant belonging to a single jaw, such that the cone distances of the conical portions of any pair of heads (13) and capsules (3) belonging to a single prosthesis (4) are never undercut relative to the path of insertion (Z) of said prosthesis, only using a single type of capsule and not having to observe any specific location or angle for each pier or each capsule during prosthesis implantation.
