A device for draping and pre-shaping curved profiled structural components of fiber materials includes at least one shaping tool having a curved shaping face which has a profiled cross-section and which defines the outer contour of the profiled structural component. The device also includes a plurality of unwinding devices each for discharging a web-like fiber material, a device for performing a relative movement between the shaping tool and the plurality of unwinding devices for tangentially winding the web-like fiber materials onto the curved shaping face under tension, and a fixing device for finally fixing the shape of all of the web-like fiber materials wound on the curved shaping face. A method of draping and pre-shaping curved profiled structural components of fiber materials is also disclosed.