Artist Ed Diment is constructing the model aircraft, which will be 22-feet-long, weigh 550 pounds and require 250,000 LEGO pieces.
Museum officials estimate a shuttle would bring in more than one million visitors each year.
NASA is expected Tuesday to decide where its three retired and retiring Space Shuttles will go.
The space shuttle landed in Florida today but New York City hopes another will land alongside its aircraft carrier sometime in the future.
The New York State Assembly is hoping they can entice NASA to bring one of the three retired space shuttles to New York.