The royal couple continue this back and forth several times, before Meghan eventually giggles and takes her seat.
Fans were quick to comment on the cute footage, praising the pair as "the cutest."
"Prince Harry has the manners of a King," one praised.
Another added, "Harry is so gracious."
Harry and Meghan have become somewhat infamous for their sweet moments together.
“They are not afraid to hold hands. They don’t mind showing their emotions,” veteran royal photographer, Mark Stewart, previously told PEOPLE.
“Meghan is used to being touchy-feely, and Harry is the same,” former palace spokesman, Dickie Arbiter, also told PEOPLE. “Harry has always been tactile.”
“While Prince Harry and Meghan holding hands is atypical for royal engagements, it is a seemingly welcomed gesture to show unity and celebration of their engagement period,” royal etiquette expert Myka Meier, founder and director of Beaumont Etiquette, said. “There is no protocol that says they can not show affection on official engagements, and this gesture makes them relatable and loveable to the public.
“Meghan and Prince Harry holding hands at a royal engagement is a refreshingly modern approach to their new role both as a couple and as representatives of the royal family.”