A production method for a double-membrane MEMS component includes: providing a layer arrangement on a carrier substrate, wherein the layer arrangement comprises a first membrane structure, a sacrificial material layer adjoining the first membrane structure, and a counterelectrode structure in the sacrificial material layer and at a distance from the first membrane structure, wherein at least one through opening is formed in the sacrificial material layer as far as the first membrane structure; forming a filling material structure in the at least one through opening by applying a first filling material layer on the wall region of the at least one through opening; applying a second membrane structure on the layer arrangement with the sacrificial material; and removing the sacrificial material from an intermediate region to expose the filling material structure in the intermediate region.