Anderson released a video prior to Ireland banning him, saying he was going there to preach to the "righteous remnant", adding that "the vast majority of the wicked people over there have already just embraced bloody infanticide", referring to the country voting to legalize abortion a year ago.
Mr Anderson is a member of the Faithful Word Baptist Church which is not affiliated to any Christian denominations. He also posted praise online for the gunman who murdered 49 people at an LGBT nightclub in Florida in 2016.
According to Anderson's website, he planned to preach in Dublin on May 26.
Irish Minister for Justice Charlie Flanagan barred Anderson from the country using an exclusion order under the Immigration Act 1999 on May 10.
Minister Flanagan said he "signed the exclusion order under my executive powers in the interests of public policy", but declined to comment further.
Minister for Justice and Equality Charlie Flanagan signed the exclusion order - section four of which states: "The Minister may, if he or she considers it necessary in the interest of national security or public policy". "We are an old-fashioned, independent, fundamental, King James Bible only, soul-winning Baptist church".
Mr Anderson has been the subject of petitions calling for him not to be allowed stage an event in Dublin. It was the first time Ireland has banned someone from entering the country since the act was signed, the department told the news outlet.
Anderson has been banned now by over 30 countries, including all 28 in the European Union.
LGBT Ireland tweeted their support for the decision on Monday morning, thanking the Minister for his decision, saying: "We are very thankful for your decision today to ban Steven Anderson from Ireland".
He also denied that the Holocaust ever happened, and claimed that homosexuality was something that God punished with the death penalty.
"This petition is for the people to show that they want Pastor Steven Anderson banned from entering the Republic of Ireland".