Manufacturing method of a device (70, 170, 270) with joints of a medical instrument (60, 160, 260, 360) comprising the following steps: (A) providing a machining accessory (112) in a discharge machine electric wire having an electric discharge wire (115), said machining accessory (112) comprising a plurality of member holes (116) each adapted to house at least one workpiece (117), said piece ( 117) working adapted to form at least a portion of said device (70, 170, 270) with articulations of said medical instrument (60, 160, 260, 360); (B) providing at least two work pieces (117), comprising a first work piece and a second work piece, housed within at least two member holes (116) of said plurality of member holes (116) ; (C) associating said machining accessory (112) to the electric wire discharge machine so that said electric discharge wire (115) can cut at most one of said at least two work pieces (117) at a time; (D) cutting said at least two workpieces (117) by said electric discharge wire (115); (E) rotating the machining accessory (112) about an axis of rotation of the accessory (RR) of a predetermined accessory rotation angle, said predetermined accessory rotation angle being chosen to provide that said electrical discharge wire (115) can cut at most one of said at least two work pieces (117) at a time; (F) cutting said work pieces (117) by said electric discharge wire.Método de fabricación de un dispositivo (70, 170, 270) con articulaciones de un instrumento (60, 160, 260, 360) médico que comprende las siguientes etapas: (A) proporcionar un accesorio (112) de mecanizado en una máquina de descarga eléctrica de hilo que tiene un hilo (115) de descarga eléctrica, comprendiendo dicho accesorio (112) de mecanizado una pluralidad de orificios (116) de miembros cada uno adaptado para alojar al menos una pieza (117) de trabajo, estando dicha pieza (117) de trabajo adaptada para formar al menos una porción de dicho dispositivo (70, 170, 270) con articulaciones de dic