Both Sinn Féin and Fine Gael have lost support, according to a new opinion poll.
The Ipsos survey for the Irish Times also indicates a boost for both Fianna Fáil and the Social Democrats.
Sinn Féin remains the most popular party, according to the poll, but it is down four points to 31%.
Fianna Fáil is in second place with 21% support, which is up three points. Fine Gael has dropped four points to stand at 18%.
The Social Democrats are at 5%, a jump of three points. The Green Party and the Labour Party both remain unchanged at 4%.
Solidarity-People Before Profit are up one point to 2%.
Aontú is also up one point to 1%. Independents are unchanged at 14%.
The in-person poll was conducted among 1,200 adults between 11-13 June.
The margin of error is estimated at +/- 2.8%. The last Ipsos Irish Times poll was in February.