The invention relates to a method of making an elastic laminate. According to the invention, an elastic film (1) is stretched transverse to the web direction and, after elastic relaxation, is cut into strips (2). The strips (2) are then laminated next to one another between nonwoven material webs (4, 5) supplied without prestretching and joined to the strips (2). Last, the laminate (8) thus formed is stretched transverse to the web direction in regions (6) rendered elastic by the laminated strips (2) and, after elastic relaxation, is wound into a roll (10). - One figure