A stator fastening arrangement for a flat elevator motor may include a stator core, a winding, and a rotor fitted in conjunction with the stator. The stator may be fitted within a mounting part fastened to a motor body. A space provided between the mounting part and the stator may be filled with a thermally conductive filling material for conducting heat away from the stator to the mounting part. The filling material may be provided on one or more axial, outer circumferential surfaces of the stator and in contact with the mounting part so as to fasten the stator to the mounting part.