Fianna Fáil leader Micheál Martin remains the most popular party leader in the country at 46%.
A new opinion poll also shows a small increase in satisfaction for the Government.
It goes up two points to 26% in the Behaviour and Attitudes survey for the Sunday Times.
Sinn Féin is up one point on 17%, with Labour unchanged on just 5%.
New Labour leader Brendan Howlin is the second most popular leader on 40%.
Brendan Howlin succeeded Joan Burton as Labour leader on May 20th. This is his first satisfaction rating.
Ms Burton's opening 'honeymoon' satisfaction rating in August 2014 was 45%, while Taoiseach Enda Kenny sees no change in his satisfaction rating at 26%, and Sinn Féin's Gerry Adams is up 1% to 31%.
Green Party leader Eamon Ryan is also unchanged, at 37%.
The face-to-face poll is based on a sample of 913 Irish voters.
Almost six weeks into the new Government, the poll shows support for all sides in the Dáil appears static.
Fine Gael have moved just ahead of Fianna Fáil to 26%, Sinn Féin is up one point on 17% with Labour unchanged on just 5%.
There is a small dip in support for the Green Party at 3% and Independents and others are on 27%.