A furniture hinge for a hinged lid is arranged in a horizontally swiveling manner on a body of a piece of furniture includes a fastening plate and a swivel plate that is arranged in a swiveling manner on the fastening plate by two lever arms that are arranged as parallel linkages. The hinge includes a damping device that can be fixed on the fastening plate. The damping, device includes a damping cylinder and a piston rod that can be displaced in a dampened manner inside the damping cylinder, whereby the piston rod is mechanically linked with a lever arm.