Photo of the Queen courtesy of Google Images
Standing outside the White House, the Queen said Britain and America had a "close and enduring" friendship.
The president said the Queen was "a good person, a strong leader and a great ally".
Later the Queen will be guest of honour at a state banquet and will visit the Children's National Medical Centre.
The state visit has included trips to the site of the first permanent English settlement in the US and the famous Kentucky Derby horse race. Bush honours Queen at White House (Read on)
WATCH BBC VIDEO: Washington welcomes Queen
Mark Alexander