The country will block his entry despite his claim that he's preaching and 'soul winning' in Dublin on 26 May.
It is first time Ireland has used a law introduced 20 years ago which permits banning foreign nationals from entering.
It comes after online petition calling for a ban gained over 14,000 signatures.
Anderson runs Faithful Word Baptist Church in Arizona but has been accused of openly expressing anti-gay and anti-Semitic views.
Spotlight was put on his church in 2009 when he preached a sermon titled 'Why I hate Barack Obama'. In it he argued the US would "benefit" from Obama's death.
Anderson has already been banned from the UK.
Stay up to date with the latest news stories from a Christian perspective. Sign up to our daily newsletter and receive more stories like this straight to your inbox every morning.