The 31-year-old comedian made his debut on the Comedy Central show as a political correspondent and is now set to succeed Jon Stewart as host.
After only three appearances on the show he has proved to be a fan favourite.
Noah will have big shoes to fill as he replaces 52-year-old Stewart, who announced in February that he would be leaving the show after 16 years at the helm and a run that saw him bag eight Emmy awards in a row.
Noah, who will start his job as host later this year, took to Twitter to thank his fans and Comedy Central for trusting him with the show.
No-one can replace Jon Stewart. But together with the amazing team at The Daily Show, we will continue to make this the best damn news show!— Trevor Noah (@Trevornoah) March 30, 2015
Meanwhile many in the USA responded to the news with "Trevor who?" on Twitter:
Yes! Trevor Noah is gonna be the new Daily Show host! Woo hoooo! Black peopleeeeeee!!! *googles who Trevor Noah is*— Larry Beyince (@DragonflyJonez) March 30, 2015
*Googles: 'Who the hell is Trevor Noah?' ...* http://t.co/dDvybMM9MV— Amanda M. Sakuma (@iamsakuma) March 30, 2015
South African celebs were quick to congratulate him and share their thoughts on the announcement:
Wow @Trevornoah will never be stopped! We are officially live in TrevorNoah land! Take a bow good man!— Siv Ngesi (@iamSivN) March 30, 2015
Trevor Noah is destined to be the first South African to get onto the cover of @Forbes without the help of Photoshop.— Deep Fried Man (@DeepFriedMan) March 30, 2015
"The Daily Show with Trevor Noah" has a nice ring to it 👍 #ProudlySouthAfrican— Maps Maponyane (@MapsMaponyane) March 30, 2015
Trevor Noah fully 🔓. It's not a joke. Take a bow.👏— #Se7en (@KidXSA) March 30, 2015
Damn I feel mad sorry for who ever was hating on @trevornoah 😂— Da L.E.S (@2freshLES) March 30, 2015
I am such a proud South African right now. "Dreams are visions from which reality is made" #TrevorNoah— Minenhle Dlamini (@MinnieDlamini) March 30, 2015
At 31, I do believe Trevor is the youngest US Late Night Show host currently... 👏— Sizwe Dhlomo (@SizweDhlomo) March 30, 2015
We think, however, that US comedian and actor Chris Rock needs to take a bow for this gem:
Thank you president Obama pic.twitter.com/PgFJCCyRTa— Chris Rock (@chrisrock) March 30, 2015
Congrats, Trevor, we're so proud!