Abstract: Disposable diapers are manufactured in a high-speed process with an elastic waistband formed of a stretched length of foam having an elastic memory by longitudinally stretching the elastic waistband length by gripping without penetrating at least one of its ends and fixing the stretched elastic waistband to the diaper layer along the waistband area. The end of the waistband length is positively engaged in a groove on a roller surface with a continuous belt which moves across the grooved roller surface and pinches without penetrating the end of the elastic foam length.