From Memorial Day through Labor Day, active duty members of the military and their immediate families with ID can receive free admission to more than 600 museums nationwide, through a program called Blue Star Museums.

List of participating Virginia museums (some already have free admission):

Wilton House Museum
Virginia Historical Society
The Museum of the Confederacy
Meadow Farm Museum
Chesterfield County Museum
US Army Quartermaster Museum, Fort Lee

Nearby museums:
Abby Aldrich Rockefeller Folk Art Museum – Williamsburg, VA
Colonial Williamsburg – Williamsburg, VA
DeWitt Wallace Decorative Arts Museum – Williamsburg, VA
Hugh Mercer Apothecary Shop – Fredericksburg, VA
James Monroe Museum and Memorial Library – Fredericksburg, VA
Mary Washington House – Fredericksburg, VA
Muscarelle Museum of Art – Williamsburg, VA
Rising Sun Tavern – Fredericksburg, VA
Virginia Discovery Museum – Charlottesville, VA

Found on Thrifty NW Mom