In a statement issued on their behalf, the Duke and Duchess of Cambridge have thanked hospital staff that helped care for them during the birth of their son.
We would like to thank the staff at the Lindo Wing and the whole hospital for the tremendous care the three of us have received.
We know it has been a very busy period for the hospital and we would like to thank everyone - staff, patients and visitors - for their understanding during this time.
The royal baby appeared to wave as he was introduced to the crowds outside the hospital for the first time.
The Duke and Duchess of Cambridge proudly showed the world their baby son, a future king, before taking him home tonight.