The archbishop said he was "thrilled" by the "rare privilege and honor" to meet the royals.
"Arch meets Archie!" the royals wrote on Instagram.
Harry last met the archbishop in November 2015—when Queen Elizabeth II named him an honorary member of The Order of the Companions of Honor.
Royal admirers have only seen Archie a few times since his parents welcomed him to the world in May.
Archie's travels should come as no surprise. After all, Prince George was just 8 months old when he made his royal tour debut.
Meghan is all smiles as she holds her baby boy during the visit.
Just look at those adorable overalls!