The method involves laminating strips of film (8) from elastically stretchable polymer between two non-woven cover layers (6,7). The cover layers are connected with reinforcing film (10) by ultrasonic or thermal welding. The cover layer (6) is connected to polyethylene outer layer (16) or reinforcing sheet, which is composed of bicomponent fibers having fiber core of polypropylene and sheath of polyethylene fiber. The carrier layer (15) is made of polymer having higher melting point than the polyethylene of the outer layer. The strips of reinforcing film having polymeric carrier layer and polyethylene outer layer are introduced between cover layers. Both sides of overlapping regions (11) are connected with adjacent strips of film. An independent claim is included for a material web.
