Abstract: The improvement of the present invention pertains to a frustoconical abutment intended to overcome the problem of the implant's lack of parallelism. The abutment can be of the Allen-driven type or the through-screw type. Both engage with an implant ranging from partially to totally inserted below the gingival margin. The abutment of the Allen-driven type includes a threaded cavity that receives a threaded member of a prosthesis. The through-screw abutment includes a threaded through-opening that also receives the threaded member of a prosthesis. The frustoconical abutment permits a dentist to reduce the mass to end up with a resulting shape that will correct the lack of parallelism typically created by misaligned implants and allowing for more aesthetic form which mimics a natural tooth shape. This is particularly helpful when part of the implant's end protrudes from the gingival margin instead of submerged below it.