The invention discloses a damping assembly for preventing damage of a film membrane and a filtering membrane assembly utilizing the damping assembly. The damping assembly comprises a positioning ring,wherein the side wall of the positioning ring is provided with a damping assembly body, the damping assembly body comprises a telescopic rod and two elastic assemblies which are successively connected with each other, one end of the telescopic rod is connected with the outer wall of the positioning ring, the other end of the telescopic rod is connected with the elastic assembly, the two elastic assemblies are coaxial, one end of each elastic assembly is connected with the telescopic rod, and a telescopic axis of the elastic assembly is parallel to the axis of the positioning ring. When a filmmembrane jitters, due to the arrangement of the elastic assemblies, the jittering amplitude of a part, close to the positioning ring, of the film membrane is alleviated and buffered, the stress applied to the part, clamped by the positioning ring, of the film membrane is reduced, and the strength quality of the clamped part of the film membrane is improved, so that the film membrane can successfully filter water, and the sealing performance between the positioning ring and the film membrane is improved.