An aircraft fuselage structure is described for a flying-wing aircraft, having a central area of slight curvature and side areas of greater curvature, which forms a pressure body and has an outer skin and structure reinforcements which support the outer skin. According to the invention, the structure reinforcements contain three-dimensional truss bending supports which extend over the area of light curvature and comprise first straps, which run close to the outer skin 9, and second straps, which run at a distance from the outer skin, and are connected to one another by coupling elements.