More than 46 per cent of the party's 13,143 eligible members voted on whether the party should further democratise the party's leadership elections.
The Greens'15,000 members have begun voting on whether they will be given a direct voice in the election of future leaders.
After almost five years leading the federal Greens,Richard Di Natale will quit the role immediately and leave the Senate in coming months.
The argument over the 2009 vote continues to shape climate policy as Labor and the Greens struggle to agree on carbon targets.