Saakashvili said the increase should last one year.
Georgia currently has 850 troops serving in Iraq.
Saakashvili made his comments today in Tokyo, where he is on an official visit.
"Georgians must demonstrate to everybody, that we do not shy away from a difficult situation," Saakashvili said. "We are ready to stick to our principles until the end. However, I'm saying this now, but we should also understand that we are talking about a limited period of time. What we are talking about is that for now, we are ready to increase our military presence in Baghdad up to 2,000 [troops], to help in bringing order to Baghdad, and this should continue approximately for one year."
Saakashvili also said Georgia was willing to send 100 troops to Afghanistan to assist the NATO mission there.
(with material from agency reports)