Next Image. 1  All Our 14 story hotel is prominently displayed on 14th Street, NW just three blocks from the White House. Hilton Garden Inn Washington DC Downtown is the perfect location in the Nation's Capital. 2  Exterior Our 14 story hotel is prominently displayed on 14th Street, NW just three blocks from the White House. 1  Now showing.  2  Hilton Garden Inn Washington DC Downtown is the perfect location in the Nation's Capital.