Get involvedpublished at 18:14 British Summer Time 2 May 2015
@JordanLee tweets:, external I LOVE that the whole world is watching these doors. #RoyalBaby
The Duke and Duchess of Cambridge have left hospital with their new baby daughter, who slept throughout
The new princess was born at 08:34 BST (07:34 GMT), on 2 May, 2015, two-and-a-half hours after the Duchess of Cambridge was admitted to hospital
Prince William told reporters he was "very happy" at the arrival of his second child
The duke brought Prince George to the hospital so that the young prince could meet his sister
The name of the baby, fourth in line to the throne, is yet to be announced
John Harrison, John Hand and Alison Daye
@JordanLee tweets:, external I LOVE that the whole world is watching these doors. #RoyalBaby
The new princess appears to be asleep as she is carried out to meet the world.
Here they are!
The Duke and Duchess of Cambridge appear at the door of the Lindo Wing, as they leave hospital, with Catherine carrying their baby daughter.
@JackieMcCormick tweets:, external Perhaps a pink Jenny Packham for Kate today?!:) #RoyalBaby
Nicholas Witchell
Royal correspondent
It has caught us all by surprise - we were expecting a much longer process than this.
The aerial view of the Lindo Wing, where we are expecting the duke and duchess - together with their new daughter - to appear imminently as they leave to go home.
Cafe Diana, near Kensington Palace, in London, has marked the royal birth by decorating the outside with balloons - along with a cut-out Catherine and William.
People around the world have been toasting the birth of the second child for the Duke and Duchess of Cambridge. Katrien Grobler, from South Africa is currently living in London, said: "I'm shaking with excitement, the atmosphere is amazing! There are at least 1,000 people here. Most of them are photographers!" Julie Lischer, from Georgia, USA, said: "We held a shower for the royal baby. I served scones and cucumber sandwiches and all kinds of Royal treats. I invited my friends. Everyone came in their finery and hats."
Astrologer Russell Grant claims the new princess is likely to have "shades of Diana's personality", saying: "With a Cancerian ascendant (the same as Diana's sun sign) and with challenging aspects from Uranus, Pluto and the moon in Libra, and just before Monday's full moon, there is a rebellious intensity and not a trace of a shrinking violet." He added: "This child is going to be a handful."
The full statement read, external: "Her Royal Highness, the Duchess of Cambridge, will be leaving St Mary's Hospital, Paddington, this evening.
"The Duke and Duchess of Cambridge and their daughter will travel home to Kensington Palace.
"Prince George has now returned to Kensington Palace.
"Their Royal Highnesses would like to thank all staff at the hospital for the care and treatment they have all received.
"They would also like to thank everyone for their warm wishes."
In the statement announcing that Catherine and her new baby will be travelling home to Kensington Palace, the duke and duchess thanked staff at the hospital for the care and treatment they received and thanked members of the public for their warm wishes.
The Duchess of Cambridge will leave hospital with her new baby daughter this evening, it has been announced.
Seyda from London emails: I think Charlotte Anne or Grace. Let's see what the gorgeous couple will name their newest arrival.
We don't know the name of the new royal baby, but we do at least know what her surname is, should she ever need to use it.
The monarchy's official website explains: "For the most part, members of the Royal Family who are entitled to the style and dignity of HRH Prince or Princess do not need a surname, but if at any time any of them do need a surname (such as upon marriage), that surname is Mountbatten-Windsor."
Rachel Burrows, from parenting site Netmums, said the decision to bring Prince George to meet his new baby sister in hospital, showed that the Cambridges were a very modern family. "This relaxed approach is a little outside of normal Royal protocol and shows the Duke and Duchess are determined to give both George and his sister a down-to-earth childhood," she said.
Patti Stanger, US TV personality
@pattistanger tweets:, external Royal baby is a Taurus n that means this little girl would not only be beautiful as Taurus is ruled by Venus but kind! Nice sign 4 a #Royal
Disney, which knows a thing or two about princesses, has compiled a special one-minute film of some of its most popular infant characters to welcome the royal baby. You can watch it on Disney's Twitter feed, external
Good wishes for the Duke and Duchess of Cambridge have been coming from across the Atlantic. Canadian Prime Minister Stephen Harper said the Royal Family held "a very special place in our country and so the news of this new addition to our Royal Family is particularly exciting".
Royal super fan Terry Hutt, 80, said he had been sleeping outside St Mary's Hospital for 11 days - and had his sleeping bag stolen during his royal baby vigil. Bedecked in a Union Jack suit he said he remembered many royal births, including that of Prince Charles. "I've been watching all of them all the way through as they've got older," he said.