"They feel so fortunate to have enjoyed this special moment with family and Archie's godparents."
Meanwhile, fans took to Twitter to marvel over the little boy's hair, which many thought looked to be red like his dad Harry's.
"It could be my eyes but the more I look at baby Archie, he appears to be a ginger!" wrote another.
"He might have Meghan's lips but definitely not her nose. Archie is the perfect mixture of both his parents," wrote one fan.
Other fans exclaimed that Archie strongly resembles Meghan's estranged father, Thomas Markle.
"Archie looks like grandpa, Thomas Markle," wrote one.
The photos were taken by Chris Allerton, who has been entrusted to take many behind-the-scenes photos of the royal family.
He previously photographed Harry and Meghan's wedding, and the first time Archie met his great-grandmother, Queen Elizabeth.
"I am honoured to take the official photographs at the christening of Archie Harrison Mountbatten-Windsor, and to once again, be part of such a special and joyous occasion for The Duke and Duchess of Sussex," he said in a statement.