Abstract: The invention relates to an assembly for damping vibrations of a structure (I), having a wall element (5a, 5b, 5c, 5d) to be fitted in a upright position, a casing element (Sa, Sb, Sc, 8d) and a damping device (22a, 22b, 22c, 22d), which is connected to the casing element (Sa, Sb, Sc, 8d) and to the wall element (5a, 5b, 5c, 5d) such that a relative movement between the wall element (5a, 5b, 5c, 5d) and the casing element (Sa, Sb, Sc, 8d) is transmitted to the damping device (22a, 22b, 22c, 22d). The damping device (22a, 22b, 22c, 22d) is designed to damp a vibrating movement of the wall element (5a, 5b, 5c, 5d) in a damping direction and is arranged such that the damping device is oriented substantially parallel to a surface of the wall element (5a, 5b, 5c, 5d). The invention further relates to a method for damping vibrations of a structure.