Abstract: Element of stepwise grid for waste incinerator furnaces of the type forming, together with other similar grid elements, a course or step of a grid borne on a support beam comprising a rear articulated joint and a front thrust portion, provided with a swinging and sweeping hammer which slides on a grid element of a lower step, characterized in that it comprises an upper plate and a lower support box, coupled to each other by means of pairs of rear portions bent to a hook shape, which hook themselves onto said articulated joint, said articulated joint being accomplished by a continuous bar stably constrained to support plates welded onto said support beam.