The invention relates to an electric connector with a self-adaptive rotating position for transmitting torque; elastic pins and jack elements are arrayed at intervals of 120 degrees in the circumferential direction of a component to form six radial elastic pin hole meshing structures; meanwhile, three one-way movement pairs are formed between the cylindrical surface of the side wall of a jack mirror image piece and the plane of the side wall of a jack piece, which are matched in the circumferential direction; three reverse movement pairs are formed between the cylindrical surface of the side wall of the jack piece and the plane of the side wall of the jack mirror piece, which totals six dual-direction movement pairs, so that rotation can be automatically and uniformly borne under the condition that assembly errors and external force are changed. In this way, bearing parts are protected, also torque transmission is enabled to be smooth and reliable. When one end of an output shaft is supported by a threaded structure, the electric connector is allowed to realize axial displacement which can be accurately measured.