The New South Wales Keneally Government is the least popular Labor government in Australian history according to a new poll.

The Newspoll published in today's Australian shows support for the party has dropped to just 23 per cent, 2 per cent lower than in the previous poll.

Support for Opposition Leader Barry O'Farrell's Coalition is double that of Labor's at 46 per cent, while the Greens have 17 per cent of the primary vote.

On a two-party preferred basis, the Coalition has opened its lead over Labor 63 to 37 per cent.

Mr O'Farrell has also overtaken Ms Keneally in the popularity stakes, with 42 per cent of those polled thinking he would make a better premier compared to 35 per cent for Ms Keneally.

Ms Keneally has brushed off the latest numbers, saying they are no surprise.

She says she is not giving up on winning the March election.

"The poll this morning confirms to me what I already knew," she said.

"I've got a tough job, I've got the toughest set of circumstances in Australian politics."

Mr O'Farrell says the poll is a wake-up call to the Premier, but says the Coalition still has to work hard to win the election.

"Preferred leadership means nothing in the Australian political system," he said.

"You win government by having a majority of seats in the Lower House and Andrew Stoner, the Nationals leader, and I will work hard between now and 26 March to outline our positive program for change, in the hope we will get that majority of seats that will see a change of government in this state."

Greens MP David Shoebridge says the poll gives his party hope of winning a Lower House seat at the March election.

"Now obviously polls come up and down, but this puts the Greens in with a very strong chance for some Lower House seats and also holding key votes in the Upper House to stop the Coalition having a rubber stamp parliament," he said.

The poll was taken over the past two months.

During that time former ports minister Paul McLeay resigned after accessing inappropriate material on his parliamentary computer, and Drummoyne MP Angela D'Amore appeared before the ICAC to defend claims she misused her electoral allowance.