Meghan Markle Duchess of Sussex introduced her newborn wrapped in a white shawl and said: “He has the sweetest temperament, he’s really calm. He’s been the dream.
Prince Harry also joined in and said: “I don’t know who he gets that from.”
The couple confirmed they will introduce the Queen to her eighth and newest great-grandchild later on.
Talking about their first few days as parents, Meghan said: “It’s magic, it’s pretty amazing. I have the two best guys in the world so I’m really happy.”
Meghan added: “Thank you everybody for all the well-wishes and kindness, it just means so much.”
The duke added: “It’s great. Parenting is amazing.
“It’s only been two and a half days, three days, but we’re just so thrilled to have our own little bundle of joy.”
The infant, who is seventh in line to the throne, was delivered at 05:26 BST on Monday, with Harry saying after the birth that he and Meghan were “absolutely thrilled”.
The Duke of Cambridge has welcomed his brother to “the sleep deprivation society that is parenting”.
Prince William – a father-of-three – said he looked forward to seeing the new parents “when things have quietened down”.
A statement added that Meghan’s mother, Doria Ragland, was “overjoyed at the arrival of her first grandchild” and was with her daughter at Frogmore Cottage – the new parents’ home on the Windsor Estate.
The baby weighed 7lbs 3oz (3.2kg), making him lighter than each of his cousins, while the average weight of a baby in the UK is about 7lb 7oz (3.4kg). Prince George was 8lb 6oz (3.8kg) when he was born in July 2013. His sister Princess Charlotte was 8lbs 3oz (3.7kg) when she arrived in May 2015, while their younger brother Prince Louis weighed 8lb 7oz (3.8kg) when he was born in April last year.,.
The baby will not automatically become a prince – although he could get that title if the Queen steps in. The infant, who is seventh in line to the throne, was delivered at 05:26 BST on Monday, with Harry saying after the birth that he and Meghan were “absolutely thrilled”. Harry and Meghan might otherwise want him to inherit one of Harry’s titles, such as Earl of Dumbarton, or they could reject any royal title at all.