The Federal Square Historic District is a historic district encompassing a portion of the former Springfield Armory in Springfield, Massachusetts. Located across Federal Street from the main Armory grounds, Federal Square was the site of some of armory's early facilities, including a Continental Army magazine during the American Revolutionary War. It was also the site of a brief clash in Shays' Rebellion, in which four rebels were killed. The district was added to the National Register of Historic Places in 2019. It is currently being developed by Springfield Technical Community College as a technology business center.