Support for Sinn Féin has increased by five points to 37%, according to a new Sunday Times/Behaviour & Attitudes poll.
The poll also suggests support for Fine Gael has fallen by eight points to 15%.
Fianna Fáil appears to be the second most popular party, increasing its support by one point to 21%.
The poll was carried out between 28 March and 4 April, when the Government won a confidence vote following its decision not to extend the eviction ban.
Separately, the poll suggests that support for the Green party has increased by one point to 6%.
The Labour Party has also seen a one-point increase in support, with 4% of voters favouring the party.
According to the poll, there has been no change for the Social-Democrats, which remains at 4% support.
Solidarity/People-Before-Profit has also seen no change, remaining at 2%.
Aontú is also on 2%, up two points from the last ST/B&A poll.
Independents and others are down one point to 8%.
The poll's sample size was 909 voters and the margin of error was plus or minus 3.3%.