Its prime minister, Laura Giddings, approuved a parliamentary motion pushing the federal government to legalise marriage equality.
"The Australian Labor Party will vote as a bloc," she told reporters.
"I can say that there is strong support for this within the parliamentary Labor party, as there is within the state branch of the Australian Labor Party."
But Giddings also said she would not move to legalize gay marriage.
"The legal advice that I have says we cannot go it alone, because the Marriage Act is very much a commonwealth piece of legislation. What we have done is go as far as we possibly can in assisting civil unions in that respect, and looking that we ensure that those relationships are given the widest possible protection."
She also hopes the Prime Minister of Australia, Julia Gillard, will "listen to what Tasmanians are saying.
But we of course are not the decision makers in relation to this, the Prime Minister has to articulate the views of the Australian views as a whole."
The current Australian Prime Minister's party will vote on gay marriage during its national conference in December even if Gillard is opposed to change the actual marriage law.