A closure device for closing a bodily passageway is provided. The device includes first and second frames and first and second crossbars. A sheet of biocompatible material is attached to one or more of the frames. The first crossbar extends across the first frame and has terminal crossbar ends connectively linked to separate sites on the first frame the second crossbar is similarly linked to the second frame. The crossbars are attached to each other at a connection point, and they are each configured to bend away from the connection point when the closure device is deployed to close a bodily passageway. A method of making the closure device is provided, as well as a method for closing a bodily passageway using such a device. Further, a closure device assembly is provided, including a closure device, a delivery catheter housing, and a delivery release member.