In the four-part show, archival footage and personal videos and photos are intertwined with present-day interviews and scenes of the group embarking on their 2022 tour
Auction house Nate D Sanders said the prop gun, made of gray, brown and silver fibreglass, is still in its original filming condition, retaining "its original flash suppressor and scope, though it does not (and never did) fire".
Actor Mark Hamill, who played Skywalker, gave the prop as a gift to a young fan in an episode of the BBC television show "Jim'll Fix It", the auction house added.
Measuring 12 inches, it is described as being "in very good condition" despite having some wear.
According to Nate D Sanders' website, the minimum bid is at $200,000 with the auction ending on Jan 28.