Support for the Tasmanian Liberals has dropped to its lowest rate in seven years, as voters indicate they may flock to Pauline Hanson's One Nation party and return a hung parliament.

Latest EMRS polling reveals One Nation has already garnered the support of 6 per cent of those polled, despite not having announced candidates.

The party has not registered in Tasmania but has plans to run candidates in all five electorates at the next state election, expected early next year.

The poll of 1000 Tasmanians last week showed the State Government's approval rating has dropped to 35 per cent, down from 40 per cent.

Polling analyst Kevin Bonham said the result was particularly bad for the Hodgman Government.

He said a five per cent loss for the Liberals could see them lose their majority and would raise the prospect of a hung parliament.

"The winner in this poll is the Labor Party — the primary vote for the Government in this poll is very bad," he said. "On these numbers it would not retain government."

Mr Bonham said 6 per cent would not be enough for One Nation to win a seat.

"But if they can build, they'll be more of a threat," he said.

Hodgman still popular despite Liberals' fall

In the preferred leader stakes, Premier Will Hodgman still proved popular.

Fifty-two per cent preferred Mr Hodgman as Premier while Opposition Leader Bryan Green only drew 20 per cent.

However, 30 per cent of those polled preferred neither Mr Hodgman nor Mr Green.

Support for Labor increased by 1 per cent to 29, while the Greens also gained a percentage point (19).

The last time the Liberals' support dropped to 35 per cent was in 2010 when Mr Hodgman was opposition leader.

Samuel Paske from EMRS said the loss of support for the Liberals was not significantly benefiting Labor or the Greens — it was flowing directly to One Nation instead.

"This option was overtly included for the first time in this latest poll due to their increased standing nationwide and their intention to stand in Tasmania at the next election being discussed publicly," Mr Paske said.

Mr Paske said one in two Tasmanians surveyed nominated Mr Hodgman as preferred Premier, and that his personal rating "remained robust" regardless of fluctuating party support.