A stretchable composite sheet having a number of ridges in a neat and orderly arrangement is disclosed. The stretchable composite sheet is easily produced by the process of the invention. The stretchable composite sheet is a laminate of a stretch sheet 10 and a nonstretch sheet 2. The stretch sheet 10 has first zones 14 having elastic stretchability and second zones 15 having less stretchability than the first zones 14. The first zones 14 and the second zones 15 extend in the same direction and alternate with each other. The stretch sheet 10 and the nonstretch sheet 2 are bonded over substantially the entire area of their facing sides. The stretchable composite sheet has a large number of ridges 3 on the side of the nonstretch sheet.
