The Queen arrived at Kensington Palace today to visit the Duke and Duchess of Cambridge and their new son.
The new Prince of Cambridge was introduced to the world today.
The Duchess held her son first and the couple looked relaxed and smiled broadly as the world's media captured the moment.
The Royal baby's fingers clasped and unclasped in what looked almost like his first royal wave.
Speaking outside the hospital, William and Kate said they felt "very emotional".
More than 18,000 people a minute tweeted about the royal baby as he made his first public appearance this evening, Twitter said.
The figure was short of peak of 25,300 tweets per minute which mentioned the baby last night after the birth was announced.
The easel which held the announcement of the birth of the Duke and Duchess of Cambridge's first child has been removed from the forecourt of Buckingham Palace.
The Duchess of Cambridge looked radiant as she presented her son to the world in a pale blue polka dot dress reminiscent of the pattern worn by Princess Diana on the day she left hospital with Prince William.
Kate stepped out of the Lindo Wing wearing a bespoke piece by Jenny Packham, a couturier who has become something of a household name thanks to the Duchess.
Observers were quick to draw parallels with the outfit worn by William's late mother when she posed on the same doorstep with her first-born son in a green spotted dress.
But where Diana appeared nervous and bewildered by the attention, a glowing Kate smiled broadly and spoke assuredly as she introduced her child to the world's press and the hordes of cheering well-wishers.
The newborn royal baby, driven by his father the Duke of Cambridge, has arrived home to Kensington Palace.
The Duke of Cambridge waved to the cheering crowds as he drove his wife, the Duchess of Cambridge, and their new-born son to Kensington Palace.