A multistage steam-cooking device (200) wherein a steam vessel main body part (2) wherein steam is actually supplied to a noodle strip group is provided with a tunnel-shaped noodle introduction part (1) that extends diagonally downward from the steam vessel main body part (2) and with a tunnel-shaped noodle discharge part (3) that extends diagonally downward from the steam vessel main body part (2) in the same manner. The vertical position of an entrance end of the noodle introduction part (1) and the vertical position of an exit end of the noodle discharge part (3) are lower than the vertical position of a lower end part of the steam vessel main body part (2).