A method of producing a composite sheet having stretchability, the producing including joining a first sheet in which stretchability in a longitudinal direction of the first sheet is developed by being subjected to a drawing process in the longitudinal direction and a second sheet having stretchability in a longitudinal direction of the second sheet that is lower than the stretchability of the first sheet, the longitudinal directions being aligned with each other, the method comprising:
- extending the first sheet in the longitudinal direction of the first sheet, while transporting the first sheet in the longitudinal direction of the first sheet with the first sheet being in contact with an upstream roll and a downstream roll that rotate adjacent to each other, by providing a difference in peripheral speeds between the upstream roll and the downstream roll;
- and
- joining the second sheet to a portion of the first sheet in an overlapped manner, the portion being in contact with the downstream roll in the extended state.