Smithsonian and National Gallery of Art Collections Space Authorization Act This bill authorizes the Board of Regents of the Smithsonian Institution and the Board of Trustees of the National Gallery of Art to construct and use a collections storage space at the museum support facility of the Smithsonian Institution in Suitland, Maryland, to accommodate the care, preservation, conservation, storage, and study of national collections held in trust by the Smithsonian Institution and the National Gallery of Art.