A laminated web from which diaper closure elements may be punched is made by first applying at least two pairs longitudinally extending and transversely spaced bend-resistant strips to a first longitudinally extending nonwoven tape. Then a respective longitudinally extending strip of an elastically stretchable polymer is applied to the first nonwoven tape between each of the pairs of the bend-resistant strips with the polymer strip partially overlapping both of the bend-resistant strips of the respective pair. A second longitudinally extending nonwoven tape that covers and extends transversely to both sides of the polymer strip is applied over the bend-resistant strips and the polymer strips to form a laminate with the polymer strip between the first and second nonwoven tapes.