In a recent online seminar at FireDogLake, the Fahrenheit 9/11 director revealed that he believes Damon is the perfect candidate for the position because he is not afraid to say what needs to be said.
"I think that [Matt Damon] has been very courageous in not caring about who he offends by saying the things that need to be said here, and if you want to win, the Republicans have certainly shown the way - that when you run someone who is popular, you win," Moore said.
Moore continued: "Sometimes even when you run an actor, you win. And I guess I only throw his name out there because I'd like us to start thinking that way."
Roseanne Barr recently announced plans to run for president on The Tonight Show, telling host Jay Leno that she is "totally serious" about challenging Barack Obama for the nation's highest office.
Last weekend, Damon appeared at a rally in Washington DC to support changing standardised testing policies for students.