A method for manufacturing a shell element reinforced with support elements (1, 3), having the following steps of: (a) providing a skin element, which has an outer surface and an inner surface disposed opposite the outer surface, (b) providing a first support element, which extends along a first axis and has an attaching side, which is parallel to the first axis, and a free side opposite the attaching side, (c) 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, (d) forming a first recess on the first support element, which proceeds from the free side of the first support element and extends transversely to the first axis, (e) providing a second support element, which extends along a second axis and has a support side, which is parallel to the second axis, and a front side opposite the support side, (f) inserting the second support element into the first recess of the first support element such that the support side faces the inner surface of the skin element, and such that the second axis of the second support element extends transversely to the first axis of the first support element, and (g) attaching the second support element on the first support element and/or on the skin element, characterized in that the first support element is attached on the skin element by means of prepreg layers, which are placed onto the lateral surfaces of the first support element, between the attaching side and the free side, and onto the regions of the inner surface of the skin element, next to the first support element, and which are subsequently cured. (a) providing a skin element, which has an outer surface and an inner surface disposed opposite the outer surface, (b) providing a first support element, which extends along a first axis and has an attaching side, which is parallel to the first axis, and a free side opposite the attaching side, (c) 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, (d) forming a first recess on the first support element, which proceeds from the free side of the first support element and extends transversely to the first axis, (e) providing a second support element, which extends along a second axis and has a support side, which is parallel to the second axis, and a front side opposite the support side, (f) inserting the second support element into the first recess of the first support element such that the support side faces the inner surface of the skin element, and such that the second axis of the second support element extends transversely to the first axis of the first support element, and (g) attaching the second support element on the first support element and/or on the skin element, characterized in that the first support element is attached on the skin element by means of prepreg layers, which are placed onto the lateral surfaces of the first support element, between the attaching side and the free side, and onto the regions of the inner surface of the skin element, next to the first support element, and which are subsequently cured.