A method for manufacturing a shell element reinforced with support elements comprises providing a skin element that has an outer surface and an inner surface opposite the outer surface, providing a first support element that has an attaching side and a free side opposite the attaching side, attaching the first support element on the skin element such that the attaching side of the first support element faces the inner surface of the skin element. A first recess is introduced into the first support element that proceeds from the free side of the first support element and extends transversely to the first axis. A second support element is provided that has a support side and a front side opposite the support side. The second support element is inserted into the first recess of the first support element such that the support side faces the inner surface of the skin element.