Both Simon Harris and Micheál Martin have taken a hit in the latest opinion poll.
The coalition leaders have dropped three points each, according to an Ireland Thinks poll in the Sunday Independent.
The Fianna Fáil leader sits at 46 per cent, while his Fine Gael counterpart is back on 40 per cent.
In a further blow for Simon Harris, just a quarter of respondents support him staying on as Fine Gael leader - with 27 per cent favouring Paschal Donohoe instead.
Support for both Labour's Ivana Bacik and Mary Lou McDonald of Sinn Féin has risen by two points, to 37 and 36 per cent respectively.
The new poll suggests Fianna Fáil remains narrowly the most popular party in the country, leading Sinn Féin by 1 percentage point, despite the poll suggesting Micheál Martin's party's support has fallen 2 percentage points since the previous poll.
The suggested trends are included in the latest Sunday Independent / Ireland Thinks opinion poll.
According to the poll, Fianna Fail's support has fallen 2 points to 23%; while Fine Gael's support has fallen by 1 point to 20%.
The same poll also suggests Sinn Fein's support is up 1 point to 22%, Independents/Others unchanged on 9%, Social Democrats unchanged on 8%, Independent Ireland up 1 point to 5%, Aontú and Labour both unchanged on 4%, Solidarity-People Before Profit unchanged on 3% and the Green Party unchanged on 2%.
For the first time the poll also asked participants for their confidence in Minister for Housing James Browne, and suggested he has the support of 30% of respondents.
In a separate question on who they would like to see lead Fine Gael, 27% of respondents indicated they would favour Minister for Finance Paschal Donohoe, 25% suggested current leader Simon Harris, 7% Minister for Health Jennifer Carroll MacNeill, 5% Minister for Education Helen McEntee, while 8% said they didn't know and 29% said they had no interest in who is the party's leader.
The text-based poll was conducted on 1 May and 2 May this week, with the previous Sunday Independent / Ireland Thinks poll taking place in April.
This week's poll size was 1,649 people, while the margin of error was plus or minus 2.5%.
