Joubert, who took charge of the Currie Cup final two weekends ago, will officiate in the Test between Wales and Australia at the Millennium Stadium in Cardiff on Saturday, with Peyper serving as an assistant referee.
Berry has been tasked with refereeing the clash between Canada and Namibia at Parc Eirias Stadium in Wales on Friday.
Meanwhile, veteran referee Marius Jonker, who officiated in 38 Tests and over 100 first-class matches, brought down the curtain on his career.
He will, however, continue to offer his expertise as a television match official.
Jonker started refereeing in 1999 and took charge of his final Test in Windhoek last week between Namibia and Germany.