1. Method (M, 21 , C, 26 ) for producing a prosthetic temporomandibular implant ( 10 ), of the type comprising a concave surface ( 16 ) designed to cooperate, at least in part, with a first natural outer surface ( 9 ) of the condyle ( 5 ) of a first joint ( 2 ) of a mandible ( 1 ), and a convex surface ( 17 ) designed to cooperate, at least in part, with a first natural inner surface ( 7 ) of the fossa ( 8 ) of said first joint ( 2 ), characterized in that said implant ( 10 ) is composed of rigid material, the method comprising the steps of: generating at least one first image of said first natural inner ( 7 ) and natural outer ( 9 ) surfaces of said first joint ( 2 ); generating a data file (S), based upon said at least one first image, that is a vector representation of said implant ( 10 ) by simulation, using a computer-aided design system (M, C) to partially fill in a virtual interarticular space ( 6 ) corresponding to a gap between said first natural inner ( 7 ) and natural outer ( 9 ) surfaces; and manufacturing said implant ( 10 ) using a digitally controlled machine, based on said data file (S).