A multistage steaming machine is configured such that a steam chamber main body portion in which steam is actually supplied to a group of noodle strings is provided with: a tunnel-shaped noodle introducing portion extending from the steam chamber main body portion in an obliquely downward direction; and a tunnel-shaped noodle discharging portion similarly extending from the steam chamber main body portion in an obliquely downward direction. A vertical position of an inlet end of the noodle introducing portion and a vertical position of an outlet end of the noodle discharging portion are lower than a vertical position of a lower end portion of the steam chamber main body portion.