The Madison Washington DC, A Hilton Hotel | 199 followers on LinkedIn. Historical hotel in the heart of Downtown Washington D.C. | The Madison Washington DC, a Hilton Hotel located at the epicenter of metropolitan Washington DC with a distinctive heritage, a dynamic counterpoint of contemporary colonial design generously enlivened by a lobby filled with the spark and scintillation of Washington’s fabled and never-ending energy. This downtown hotel draws small to large sized meeting featuring 15,128 sq. ft. of sophisticated meeting space to include a brand new 4506 space with an outdoor patio. For overnights and receptions, general sessions and town halls, The Madison’s elegant ballrooms will set the stage for your event.