The US President will make his sixth appearance on the Comedy Central programme next Thursday (October 18) at 11pm.
It will be Obama's second appearance on The Daily Show since he became president.
Obama and Republican presidential candidate Mitt Romney will also take part in their second televised debate next week in New York.
The debate - which will be held on the evening of Tuesday, October 16 - takes a town meeting format.
Moderated by CNN's Candy Crowley, it will be broadcast from 9/8c across all major US broadcast networks and online.
Stewart himself took part in a spoof presidential debate with Bill O'Reilly earlier this month.