Taxis and Super Shuttle are options from Reagan National Airport (DCA) as well as from Washington Dulles International Airport (IAD) and Baltimore Washington International Airport (BWI). For more information, quotes, and to schedule Super Shuttle, please visit the Super Shuttle website.
Take the Blue, Orange or Red lines to the Metro Center stop. There is an entrance to the Grand Hyatt Washington in the station. For more information on taking the metro to the Metro Center station, visit the Washington Metropolitan Area Transit Authority's website and see the below map.