A system, which may be embodied particularly as a fuel injection system for high pressure injection in internal combustion engines, includes a fuel distributor and a mounting support, which is used for fastening the fuel distributor to an externally-mounted structure, particularly a cylinder head, of an internal combustion engine. In this case, a damping composite element is provided, which is connected to the mounting support and/or the fuel distributor. The damping composite element includes at least one metal layer, which is formed at least essentially of a metallic material, and at least one elastically deformable damping layer.