From their website:
Originally Posted by drdan01
Created by Presidential Proclamation on November 1, 2011, Fort Monroe National Monument is one of the newest additions to the national park system. Fort Monroe was the third oldest United States Army post in continuous active service until its closure in September 2011. It was designated a National Historic Landmark in 1960 and it is listed on the National Register of Historic Places. The Fort Monroe National Monument 325-acre park boundary includes historic fortifications and the North Beach area.
In the spring of 2012, the National Park Service began working on the first phase of planning to develop a Foundation Document that helps identify what is nationally significant about the monument.
On April 30, 2012, the National Park Service will hold the first public open house meetings to discuss the development of the Foundation Document. The public is invited to attend one of the meetings or may participate electronically through our website: http://parkplanning.nps.gov/FOMR-1
So it would seem to fall under the rest of the NPS rules, which should not restrict any form of legal carry, other than in posted buildings, no?