A snap hinge with damped closure is provided, including a first articulated quadrilateral and a second articulated quadrilateral which share a first lever and a second lever and are provided respectively with a plate for coupling to a first element and with a plate for fixing to a second element. The hinge is movable alternately between an open configuration and a closed configuration, in which the plates have different arrangements with respect to each other. At least one damping element is interposed at least between the first quadrilateral and the coupling plate or between the second quadrilateral and the fixing plate for damped transition from the open configuration to the closed configuration or vice versa.