The little bundle of joy, pictured at just a few hours old, is the fourth in line to throne and the fifth great-grandchild of Queen Elizabeth II (89).
The princess, whose name is unknown, was asleep as well-wishers cheered to celebrate her long awaited arrival.
Earlier William said he and Kate were ‘very happy’ after the birth of their daughter, weighing 8lbs and 3oz.
The Dutchess of Cambridge wore a Jenny Packham custom made dress and looked incredibly fresh as she posed for cameras just 10 hours after giving birth at St Mary’s Hospital.
Kate held her little princess who was swathed in a wool shawl made by the Nottingham company GH Hurt & Son.