Support for Sinn Féin has increased over the last month, the latest Business Post/Red C poll suggests.
The party, led by Mary Lou McDonald, has seen its support rise by three points to 30%.
This is the highest ever level it has reached in this series of polls which began in 2003.
Fine Gael remains the party with most support but it has fallen by four points to 33%.
Fianna Fáil is up one point to 12% while the Green Party drops one point and now has 5% support.
Independents on 8% are unchanged as are Labour on 3% and Aontú on 2%.
The Social Democrats on 4% are up one point and there was also a one point rise in support for Solidarity-People Before Profit who are on 3%.
The online poll of 1,000 people was taken between Thursday 19 November and Wednesday 25 November.
It has a margin of error of plus or minus 3%.