a method for welding together a first and a second multiple layered thermoplastic layer composite material component , includes removing material of the first and second components along a first and a second longitudinal edge , respectively , by a laser beam to form a first and a second step structure , respectively , having a plurality of steps . each step is formed by one other or several others of the layers of the first and the second component , respectively , and has a surface section parallel to the direction of extension of the layers and a front section transverse to the direction of extension of the layers . the first and the second components are disposed in the abutting position , and then the first and second components are welded together by welding together the abutting surface sections of the steps of the first and second step structures .