Fianna Fáil has dropped five points in the latest Sunday Business Post Red C Poll.
Michéal Martin's party is now on 22%, 10 points behind Fine Gael which is still the most popular party in the country.
Fine Gael is down two points to 32% in this poll.
Today's figures compare with the last poll in November, and take into account the decision of both Fianna Fáil and Fine Gael to extend the confidence and supply agreement by a further year.
The big winners in the poll are independents who are up four points to 14%.
Most of the other parties remain unchanged, including Sinn Féin which is on 13%, Labour is on 6%, the Independent Alliance is on 5%, the Green Party is on 3%, the Social Democrats are on 2% and Renua remains on 0%.
Solidarity-People Before Profit are up two points to 2%, and other small parties are up one point to 1%.
The telephone poll of 1,000 voters by Red C was taken between Thursday 17 January and Thursday 24 January.
It has a margin of error of plus or minus 3%.