Published Saturday, 21 January 2012
The event at Orangefield Presbyterian was organised by Californian preacher Jim Reynolds.
Mr Reynolds says he wants to work with local gay men and women who wish to change their sexual preference.
Activists from Northern Ireland's biggest gay rights organisation have picketed the conference on Saturday morning, branding it "very offensive".
John O'Doherty, from the Rainbow Project, said: "We find the use of the term leper to be very offensive, we can't understand why the organisers have decided to go ahead with this title when there's so much outrage about it.
"If this title was used about disabled or black community it wouldn't be acceptable and shouldn't be acceptable to LGBT community.
"We're here to say let us be ourselves let us live our lives, stop telling us there's something wrong with who we are, that we're sick and need to change."
Mr Reynolds acknowledged the protesters and said he had spoken with many of them and respects the rights of those who are happy as they are.
He says the aim of the event is to help people who voluntarily seek change their sexual preference.
"We had people in who are Christian, we agree about Jesus, about the love, the church," the pastor told UTV.
"We all agreed that we had hurt them and we confessed to them.
"Church has sinned against them but we do disagree about the fact they want to live life in a homosexual relationship and we don't think that's the will of God.
"There is a disagreement but I respect their right to disagree with me."
In a statement, Orangefield Presbyterian said that the buildings are used by a wide range of organisations and local businesses.
The church added that although the event is being held on its premises, the content is a matter for the organisers.
The conference began on Friday and ended on Saturday - it is scheduled to visit two more churches in Northern Ireland on Sunday before moving to London.