The invention relates to a device for fixing at least one flexible fabric comprising a housing rail with U-shaped cross section and a deformable filler section which is designed as full section, wherein for fixing the at least one fabric said filler section and at least one fabric rim are insertable into said housing rail in such a way that the at least one fabric rim is arranged between said deformable filler section and said housing rail, said housing rail having two arms running in parallel and said arms exhibiting a bead at the ends of their inner surface which is designed to block the removal of said filler section from said housing rail under tensile load of said at least one clamped fabric rim, wherein the area of the two arms facing said filler section in the inserted state is of concave design, wherein the distance between the two beads of said two arms is moreover designed in such a way that insertion of said filler section is merely facilitated through exerting pressure against said housing rail and the distance between said two arms is executed such that said filler section in the inserted state is squeezed and deformed between said arms. Furthermore, it relates to a method for setting up an air-borne hall and a housing rail for a filler section with a rib and two arms.