(AP) - Media reports from London say the first glimpse of the new royal baby could come at any time.
JOIN THE ROYAL BABY WATCH LIVE HERE: http://www.telegraph.co.uk/news/uknews/kate-middleton/10179413/Live-Duchess-of-Cambridge-gives-birth-to-baby-boy.html
Prince William, Kate and their baby boy were spending their first day as a family Tuesday inside a London hospital, thanking staff for their care but making well-wishers wait for a first glimpse of the royal heir.
As celebratory lights, gun salutes and other tributes were unleashed in Britain and abroad, William thanked staff at St. Mary's 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," he said in a statement.
Join the royal baby watch as well-wishers and media wait outside St. Mary's Hospital to catch the first glimpse of the Britain's future king.
The couple's Kensington Palace office said Kate, the Duchess of Cambridge, had given birth to the 8 pound, 6 ounce (3.8 kilogram) baby boy at 4:24 p.m. Monday, triggering an impromptu party outside Buckingham Palace and in front of the hospital's private Lindo Wing.
The palace said Tuesday that "mother, son and father are all doing well this morning."
The new family was expected to remain in the hospital until Tuesday evening or Wednesday morning.
In the meantime the infant's appearance — and his name — remain a royal mystery.