A laser welding method to weld two adjacent metal elements of a stator winding with rigid bars for an electric machine; the two metal elements are arranged one beside the other and have respective upper surfaces, which are arranged coplanar to one another and have at least one common edge; in succession, in the direction of the upper surfaces of the two metal elements, a first laser beam is aimed, which is fed along a first welding line, which is perpendicular to the common edge and extends through the common edge itself, and then a second laser beam is aimed, which is fed along a second welding line, which is perpendicular to the common edge and extends through the common edge itself, is parallel to and spaced apart from the first line and has a length that is smaller than the one of the first line.