A former captain of South Africa Schools and Under-20s, he will join Munster on a two-year contract - subject to being granted a work permit and passing the requisite fitness test - once his commitment to the Bulls in the Super 15 and Currie Cup has ended.
Commenting on the 22-year-old's decision to move to Ireland, Bulls head coach Frans Ludeke said: "Quality players like CJ, who have also shown tremendous leadership abilities, don't come around very often and so it was not a surprise to hear about his overseas offer."
"I spent countless hours on their website to learn more about Munster's history, traditions and community involvement. It goes without saying that I am aware that Munster is a giant in world rugby.
"I know though that I will join an institution that is much bigger than just being a rugby club and look forward to be a contributing member of the team and to earn the respect of my future team-mates and Munster supporters if selected."
Stander's next engagement for the Bulls is against the Cheetahs on Saturday, June 30 and he will be involved with the Blue Bulls in the Currie Cup and join Munster immediately after the conclusion of that competition.