They have not revealed who they have chosen as godparents for their son.
But fans can get a flavour for the day from the two photos, taken by Chris Allerton.
Archie Harrison: First photos of royal baby revealed
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In one group shot, Archie sits on his mother’s lap surrounded by other members of the royal family, including the Duchess of Cambridge and Prince Charles.
In a second black and white image, Prince Harry and Meghan are pictured with just their two-month-old infant in Windsor Castle’s Rose Garden.
The royals shared the images on Instagram, where they garnered hundreds of thousands of likes within minutes.
“The Duke and Duchess of Sussex are so happy to share the joy of this day with members of the public who have been incredibly supportive since the birth of their son,” the caption reads.
“They thank you for your kindness in welcoming their first born and celebrating this special moment.”
Thousands of fans have commented underneath the image, with many writing congratulatory messages to the royal couple.
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“He is so beautiful. Congratulations Duchess Meghan and Prince Harry. Archie is the cutest baby,” wrote one person.
Another added: “Thank you for sharing these wonderful photos with us. The 2nd photo is killing it. I hope you had a wonderful day with the most important people your lives!”
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