NEW polling shows Premier Campbell Newman's falling popularity in Queensland could be rubbing off on his Federal counterparts.

Through a telephone questionnaire, Brisbane pollsters ReachTEL and Channel 7 posed four questions to Queenslanders.

The 1134 respondents showed 58% of Queenslanders would not give the LNP their top vote if an election was held, versus 41.9% who would.

The trend follows a steady downturn in support for the Brisbane mayor-turned-Premier after a year of public service sackings, union challenges and a number of internal stoushes for the LNP.

Mr Newman himself still had 19.8% of people suggesting he was doing a very good job, compared with just 10.5% for Opposition Leader Annastacia Palaszczuk.

But the Premier also had almost 50% saying he was doing either a poor or very poor job compared to 29.5% who thought the same about his chief opponent.

Perhaps most concerning for the Premier, particularly for the Tony Abbott-led Opposition on the national stage, is that Mr Newman's disapproval appears to be eating into Queensland's support for a Coalition Government.

More than half of Queensland - 50.5% - said the performance of the state LNP government made them less likely to back the LNP at the Federal election, up from 45% two months earlier.

Those more likely to back the Coalition at a Federal level fell 2.9% to 31%.

The ReachTEL data showed 18.5% felt its performance had little impact on their vote.