"Australians are voting to make our country a fairer and more equal place, not to take us back to a time where people can be denied service at a shop", said Anna Brown, cochair of the Equality Campaign.
It is non-binding, however politicians are expected to follow the results of the poll - the country will then become the 26th nation to legalise same-sex marriage.
The intense campaign pitted marriage equality advocates against conservative and religious groups arguing that any change would erode religious freedoms by unleashing the forces of unfettered political correctness. This bill would legalize same-sex marriage but still allow religious ministers and organizations to refuse to oversee marriages they don't like. But a new category of religious marriage celebrants would be created who could refuse to marry LGBTI people.
"I've never believed that allowing same-sex couples to marry needs to come at the expense of the freedoms of other Australians".
Fellow Liberal Dean Smith also has a private bill ready for parliament.
"There won't be a government position, there won't be a party position", Senator Cormann said.
The Australian Bureau of Statistics said on Tuesday 61.6 percent of voters cast their ballots in support of same-sex marriage.
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The survey result will announced on Wednesday. However, if the Labor Party wins the next federal election, we could see marriage equality be reintroduced in parliament.
Liberal Democrats senator David Leyonhjelm is planning a number of amendments.
Mr Turnbull, a same-sex marriage supporter, is facing debate within his government over what the parliamentary bill should include.
"I think we're all on the same path".
"They have spoken in their millions and they have voted overwhelmingly yes for marriage equality", he told reporters in Canberra.
"What you have is a young fogie being led astray by some old fogies".
'This is not a marriage equality bill.