Their Royal Highnesses Instagram account, sussexroyal, broke the news of Archie's arrival by posting a sentimental photo of the family meeting, which also included The Duke of Edinburgh and The Duchess' mother, Doria Ragland.
On which parent the baby resembled more, Harry said: "Everyone says that babies change so much over two weeks".
The duke and duchess's son arrived on Monday May 6 at 5.26am, weighing 7lb 3oz.
Instead, the Duke and Duchess of Sussex have chosen Mountbatten-Windsor, in keeping with family tradition-and including a nod to the Duke of Edinburgh.
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The surname is not typically used by royals with His/Her Royal Highness titles; this explains why the Cambridge children use Cambridge as a surname when needed.
As for their son's looks, the happy couple said they're still trying to figure out who he resembles.
Following the baby's arrival, Harry gave an impromptu press conference in the mews of Windsor Castle, saying: "I'm very excited to announce that Meghan and myself had a baby boy earlier this morning, a very healthy boy".
The Duke and Duchess of Sussex have named their son Archie Harrison Mountbatten-Windsor.
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Meghan declared motherhood to be "magic".
Prince Harry added that Baby Sussex's looks have been "changing everyday".
As the new mom presented her bundle of joy to the cameras at Windsor Castle, she stunned in a white belted trench dress and heels, just days after delivering her son. At 93, Queen Elizabeth is the world's longest-reigning monarch.
Meghan and Prince Harry have shown their new son to the public, with the proud new mother declaring that the baby is "a dream".
"Obviously thrilled, absolutely thrilled, and obviously looking forward to seeing them in the next few days", William told reporters.
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Harry is due to return to royal duties Thursday, attending an event in The Hague for the Invictus Games sports competition for injured service personnel and veterans.