Website, www.deadline.com, reported that the sitcom would be "inspired by Noah's comedy and life".
The half-hour show will be produced by Overbrook entertainment - a company co-owned by Hollywood celebrity couple Jada Pinkett Smith and Will Smith.
One tweet reacting to the news was from Geoffrey York who said: "Let's just hope Will Smith doesn't turn Trevor Noah into "The Fresh Prince of Soweto"."
Thulani Siyo, tweeted his support for Noah by declaring: "So Trevor Noah has landed himself a sitcom in the states? Now that's ayoba!!!"
