This honor coincides with the production's final performance on Broadway, taking place Jan. 4 at the Foxwoods Theatre.
Carney's custom-printed spandex suit was designed for his exact dimensions by the late costume designer Eiko Ishioka. Ms. Ishioka was nominated for a 2011 Tony Award for her work on Spider-Man.
Producers Michael Cohl and Jeremiah J. Harris said in a statement, "The Smithsonian Institution's National Museum of American History is the premier archive of iconic American artifacts. We are honored that they have decided to cement the production's place in the American popular culture canon. This also serves as a fitting tribute to our incredible costume designer Eiko Ishioka."