Prince William and his wife Kate Middleton left hospital on Tuesday, giving the first glimpse of the new born baby. The visibly happy royal couple posed for photographs with their son outside the hospital.

Kate Middleton, 31, wearing a blue polka-dot dress stepped out of the hospital with her first child, who is third-in-line to the British throne. She waved to the cheering crowd waiting outside the Lindo Wing of St Mary's Hospital. Prince William also held the new born lovingly in his arms to the much delight of the photographers.

The 31-year-old Duchess of Cambridge gave birth to a baby boy on Monday amid speculations that the royal couple would have a girl. The baby's maternal grandparents - Carole and Michael Middleton - were the first to visit the hospital after the news of Kate's delivery was made public.

The royal couple welcomed a baby boy at 04.24 p.m GMT on Monday and Kensington Palace announced the birth of the new heir at 08:30 pm GMT.

"Her Royal Highness The Duchess of Cambridge was safely delivered of a son at 4.24 p.m.," the palace announced in a statement. "The baby weighs 8 lbs. 6 oz. The Duke of Cambridge was present for the birth."

"The Queen, The Duke of Edinburgh, The Prince of Wales, The Duchess of Cornwall, Prince Harry and members of both families have been informed and are delighted with the news," said the statement. "Her Royal Highness and her child are both doing well and will remain in hospital overnight."

Cheers erupted at St. Mary's Hospital when Kensington Palace announced the birth of the new heir.

The hype around the birth of the royal baby has been phenomenal with fans, reporters and photographers from several countries camping outside the Lindo Wing of St. Mary's Hospital for many days to witness the arrival of the new heir to British throne.

Royal Baby
Britain's Prince William and his wife Catherine, Duchess of Cambridge appear with their baby son, as they stand outside the Lindo Wing of St Mary's Hospital, in central London
Royal Baby
Britain's Prince William and his wife Catherine, Duchess of Cambridge appear with their baby son, as they stand outside the Lindo Wing of St Mary's Hospital, in central London
Royal Baby
Britain's Prince William and his wife Catherine, Duchess of Cambridge appear with their baby son outside the Lindo Wing of St Mary's Hospital, in central London
Royal Baby
Britain's Prince William and his wife Catherine, Duchess of Cambridge appear with their baby son outside the Lindo Wing of St Mary's Hospital, in central London
Royal Baby
Britain's Prince William and his wife Catherine, Duchess of Cambridge appear with their baby son outside the Lindo Wing of St Mary's Hospital, in central London
Royal Baby
Britain's Prince William and his wife Catherine, Duchess of Cambridge appear with their baby son outside the Lindo Wing of St Mary's Hospital, in central London
Royal Baby
Britain's Prince William and his wife Catherine, Duchess of Cambridge appear with their baby son outside the Lindo Wing of St Mary's Hospital, in central London
Royal Baby
Britain's Prince William and his wife Catherine, Duchess of Cambridge appear with their baby son outside the Lindo Wing of St Mary's Hospital, in central London
Royal Baby
Britain's Prince William and his wife Catherine, Duchess of Cambridge appear with their baby son outside the Lindo Wing of St Mary's Hospital, in central London
Royal Baby
Britain's Prince William and his wife Catherine, Duchess of Cambridge appear with their baby son outside the Lindo Wing of St Mary's Hospital, in central London
Royal Baby
Britain's Prince William carries his baby son in a car seat, as he leaves the Lindo Wing of St Mary's Hospital with his wife Catherine, Duchess of Cambridge, in central London