Interestingly, there is only ONE monument in DC: the Washintong Monument. The rest are memorials. It is open on Sunday, though if you want to go to the top, you will want to reserve tickets in advance.http://www.nps.gov/wamo/planyourvisit/fe��The memorials are all open on Sunday as they are all outside. All you have to do is walk up! You can go to the mall and see the Vietnam, WW2, Korean memorials as well as the Lincoln Memorial. You can take a peek at the White House. You can walk over to the Jefferson, but it is a bit of a trek.Also, all of the Smithsonian Museums are open 7 days a week (except Christmas).http://www.si.edu/visit/hours.htmI highly recommend the Air Space Museum.The only things I can think of that s closed on Sunday is the Capitol Visitor s Center and the Supreme Court building I also believe is closed.http://www.visitthecapitol.gov/Visit/Have fun!
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All of the Smithsonian museums and all of the DC monuments memorials are open and accessible on Sundays. The monuments are outdoors, so they are accessible all day. Here is a link to the hours for specific Smithsonian museums: http://www.si.edu/visit/hours.htm