The 265 members of the Assembly passed a resolution defining marriage as a union between two people. The previous definition (ie marriage is the union of a man and a woman) won't be removed but both definitions will be "equal yet distinct".
It is a kind of compromise allowing the church to open its doors to LGBT couples and performing their marriage, while not forcing the clergy to conduct these weddings if they don't wish to.
The Uniting Church of Australia was created in 1977 and combines several churches: Methodist, Congregational and Presbyterian churches. It's the largest Christian denomination in Australia so it's a big win.
"We accept the diversity in our midst and we are allowing our members the freedom to decide on whether they conduct same-sex marriages or not," President of the Uniting Church of Australia, Dr. Palmer, said.
"We already have many LGBTIQ members in the Uniting Church.
"We hope that this will be an opportunity for them to feel more embraced and welcomed by our church."
The first same-sex couples will be able to marry within the Uniting Church of Australia by the end of the year.