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The US comedians will perform two gigs at the O2 Arena.
Rock, 57, announced the September shows on Instagram.
Sharing a picture of a poster for the event, he told fans: “This is really happening.”
The star was in the headlines in March when Will Smith stormed onstage at the Oscars and struck him after he made a joke about Smith’s wife Jada Pinkett Smith’s shaved head.
And Chappelle, 48, was allegedly accosted on stage during a show at the Hollywood Bowl in Los Angeles last month.
The comics apparently previously got together in May, sharing the stage at The Comedy Club in LA.
When will the comedians be in London?
The pair will be at the O2 Arena in September.
They will perform two shows on 3 September and 4 September.
How to get tickets?
A presale took place on Thursday 9 June, starting at 10am via Live Nation.
Tickets will go on general sale on Friday 10 June.
Fans were thrilled to hear the legendary stars would be teaming up for the shows.
"Can't wait to laugh," one person posted on Instagram, while another predicted that it would be “incredible”.
“In all honesty I always wondered how it will be, when u two guys takes the centre stage together," said another. "Well it's happening."
Read more: LAPD not investigating Will Smith slap
Others posted messages on social media saying that they hoped the show would be televised for those who didn’t manage to secure tickets.
"Gonna need the Avengers to guard this stage," teased another fan.
Buy Chris Rock and Dave Chappelle tickets at Ticketmaster | 3rd September, London O2 Arena
Additional reporting from PA.
Watch: Jada Pinkett Smith hopes her husband and Chris Rock will 'reconcile'