The Duke and Duchess of Cambridge, Prince William and wife Kate Middleton, released a brief statement after the birth of their son Monday.

"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," the statement reads, "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."

Middleton gave birth at 4:24pm on Monday in the Lindo wing of St. Mary's Hospital in London; and on Tuesday a Kensington Palace spokesperson said, "Mother, son and father are all doing well this morning."

The announcement of the baby's arrival was made official just after 8pm (GMT) on Monday with a notice posted on an easel outside Buckingham Palace. The message read, "Her Royal Highness The Duchess of Cambridge was safely delivered of a son at 4:24pm today. Her Royal Highness and her child are both doing well."

Posting a notice about the arrival of an heir in line for the throne is customary in England. The baby is third in line behind his father, for whom the easel was used last on June 21, 1982, and his grandfather, Prince Charles.

The Prince of Wales released a statement on the birth of his first grandchild shortly after the news broke.

"Both my wife (Camilla Parker Bowles) and I are overjoyed at the arrival of my first grandchild," he said. "It is an incredibly special moment for William and Catherine and we are so thrilled for them on the birth of their baby boy."