Senator Brown who appeared at the national tally room in Canberra to loud cheering said the Greens have come of age and are now the undisputed third major political party in Australia.
The Greens are also polling very strongly in Queensland where environmental lawyer Larissa Waters is almost certain of winning a Senate seat while fellow lawyer Penny Wright looks good to pick up another one for the party in South Australia.
Rhiannon an 85% chance for senate
The numbers are looking good for Lee Rhiannon but the NSW Greens Senate hopeful refuses to claim victory.
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Some five hours after voting closed and with some election watchers saying she can take a Senate spot, Ms Rhiannon remained restrained.
"Our numbers people are following the seat closely and they estimate that we have about an 85 per cent chance," Ms Rhiannon told AAP on Saturday night.
"As the count comes in our numbers are increasing ... but we are waiting until we have seen firmer numbers."
While the former NSW state MP said she didn't want to get ahead of herself, she added that it would "be a great honour to join The Greens Senate team".
"But, I've still got to win the spot."
She paid tribute to federal party leader Bob Brown, colleagues and supporters for helping to deliver a nationwide swing towards The Greens.
Ms Rhiannon was unsure if she would get a final result on her Senate place on Saturday night.
"Anyone who voted here can appreciate there is a high level of complexity in the NSW senate count," she said.
"That could take some time to finalise."
Ms Rhiannon also congratulated the party's Adam Bandt for his lower house win in Victoria.
"Across Australia we have increased our vote, including what's looking like making history by winning the lower house seat of Melbourne," she said.
