Following a continued campaign from British fans of the show and comments from recent guest, London mayor Boris Johnson, the show will start on July 23 on Sky 128 and Virgin Media 185 at 10.30pm.
MD of Comedy Central UK Jill Offman said: "I'm delighted to welcome Jon Stewart to his rightful home in the UK.
"The Daily Show is another example of our commitment to provide our viewers with the best content from the UK and US."
She added: "It's a stellar addition to our programming lineup which includes original commissions such as series 2 of Threesome and the recently-announced The Alternative Comedy Experience curated by Stewart Lee, as well as our lineup of US shows like 30 Rock, The Office, South Park and Two and a Half Men with Ashton Kutcher."
Joining Stewart on the show are its regular news correspondents John Oliver, Aasif Mandvi, Kristen Schaal, Jessical Williams, Wyatt Cenac, Jason Jones, Samantha Bee and more.
Monday evenings will host The Global Edition, while Tuesday-Fridays will show the nightly programmes 24 hours after they first air in the US.
Watch a recent recap from The Daily Show with Jon Stewart below: