The couple announced on Wednesday they have named their child, George Alexander Louis.
The baby will be known as His Royal Highness Prince George of Cambridge.— Clarence House (@ClarenceHouse) July 24, 2013
Six previous British kings have been named George, and the name was a favorite of British bookmakers in the run-up to Wednesday's announcement.
For now, the baby is expected to stay out of the spotlight after making his first "public appearance" in the arms of his parents outside of London's St. Mary's Hospital on Tuesday.
Queen Elizabeth II, Prince George's great-grandmother, made a short trip from Buckingham Palace by chauffeur-driven Bentley and spent about half an hour visiting the two-day-old Prince of Cambridge.
The baby is her third great-grandchild and the third in line to the British throne.
Prince Philip, who is recovering at Windsor Castle after exploratory abdominal surgery last month, did not accompany the queen.
The Associated Press contributed to this report.