The world will catch its first glimpse of the newborn son of the Duke and Duchess of Sussex later today when the two-day-old boy is expected to attend his first photocall.

Prince Harry and Meghan have been enjoying the experience of being new parents at their Frogmore Cottage home near the Queen's Windsor Castle residence.

And now they plan to show off the baby that has changed their lives forever, although it is not yet known if the couple have settled on a name for their baby son.

READ MORE: Royal fans rejoice in Windsor as Prince Harry and Meghan welcome baby boy

Family members spoke about the joy of the new arrival with the Duke of Cambridge saying on Tuesday he was "obviously thrilled, absolutely thrilled, and obviously looking forward to seeing them in the next few days when things have quietened down".

He added: "I'm very pleased and glad to welcome my own brother into the sleep deprivation society that is parenting."

Harry was at his wife's side during the birth on Monday and he later confessed he had only had a few hours' sleep, suggesting Meghan had spent much of the night in labour.

Kate revealed they had no clues about the baby's name but were eager to see the Sussexes and their new arrival.

She said: "As William said, we're looking forward to meeting him and finding out what his name's going to be so it's really exciting for both of them and we wish them all the best.

"These next few weeks are always a bit daunting the first time round so we wish them all the best."

Baby Sussex arrived at 5.26am on Bank Holiday Monday, weighing 7lb 3oz, and is thought to have been born at Frogmore Cottage, but there are some reports claiming the baby was delivered in a London hospital.

The Prince of Wales has also spoken publicly for the first time about the birth, saying he was "delighted" at arrival of his latest grandchild.

During an official visit to Germany with the Duchess of Cornwall, Charles said on Tuesday: "We couldn't be more delighted at the news and we're looking forward to meeting the baby when we return."

Harry's grandmother the Queen accepted the congratulations of a Windsor Castle guest who asked: "Life is good for Your Majesty?"

The Queen, who was joined by the Duke of Edinburgh, was hosting a lunch on Tuesday for members of the Order of Merit and smiling said in reply "yes, thank you".

The infant is believed to be the first mixed-race child born to a senior member of the royal family in centuries and is a reflection of modern Britain with its culturally diverse population.

Alexander and Spencer are the new favourite names for the infant with many of the bookies after the long-term pick Arthur was dethroned in a flurry of betting.