TWO-THIRDS of voters say they support a carbon tax if all the revenue is spent on compensation for households and business, according to a new Galaxy Poll.

The poll of 1036 people to be released today was commissioned by the Greens and reveals surprisingly strong support for the model being negotiated by the Gillard Government, the Greens and independent MPs.

Women, families and higher-income earners were the strongest supporters.

The poll, conducted a fortnight ago, found 66 per cent of voters in favour, 23 per cent were opposed and 10 per cent had no opinion.

People were asked if they supported or opposed a price on carbon that would tax the biggest polluting industries and return all the money to compensate households and business and provide investment in climate change schemes such as renewable energy.

Greens deputy leader Christine Milne said Galaxy's specific question showed people had seen through Tony Abbott's scare campaign.

"Australians clearly recognise that building a cleaner, healthier economy means we need to put a price on pollution and make clean, renewable energy cheaper rather than prop up the old polluting economy," Senator Milne said.

Galaxy found 70 per cent of women supported the plan compared with 62 per cent of men and seven out of 10 people earning over $70,000 were in favour compared with just over six out of 10 people earning less than that amount.

In Victoria 64 per cent of people were in favour while 70 per cent of people with children backed it compared with 64 per cent support among those without.

It comes as the latest Newspoll shows support for Labor and the Greens has dropped since the carbon tax plan was announced in February. The Coalition holds a 55-45 per cent two-party lead over the ALP.

For more on Prime Minister Julia Gillard's carbon tax go to the Herald Sun.