The Duchess of Sussex already had a rescue dog name Guy, who moved with her to London following the announcement of her and Harry's engagement last year.
Both Guy and new Labrador Oz are living in Nottingham Cottage at Kensington Palace with the Duke and Duchess of Sussex, and also accompany the royal couple when they stay at their Cotswolds home.
A source previously told the Daily Mail's Richard Eden: 'The dog is already happily ensconced at their cottage.'
He added, 'Like the Sussexes, the dog will divide its time between the palace and their country home in the Cotswolds.’