Mary Lou McDonald's party climbed two points, while Leo Varadkar's saw a drop of one.
Support for Sinn Féin has risen to 29% amongst voters, according to the latest political opinion poll by the Red C/Business Post.
Mary Lou McDonald's party is up two points, drawing level with Fine Gael as Leo Varadkar's party experienced a drop off of one point to 29% support.
Fianna Fáil is also up one point, bringing them to 14%.
The Green Party have also risen by just one to 5% and Social Democrats remain unchanged also at 5%.
The Labour Party have dropped two points to 3%, while Independents dropped one point to 10%.
Data released from a separate poll last week saw Sinn Féin deemed as the most popular political party in Ireland but the party has still seen a slight dip in popularity.
The party, led by Mary Lou McDonald was reported to be on 30%, down from 32% since December, according to the
Sunday Times/Behaviour and Attitudes survey.
Meanwhile, Fine Gael was on 28%, up by one, and Fianna Fáil remained unchanged at 22%.
The Green Party was also up two points to 5% and Labour was on four points, going down by one.
Social Democrats were up one point, on two points and Solidarity/People Before Profit was down one, on one point.
Independent/others were on eight points, going up by one and Aontú's ranking remained unchanged at zero points.
The poll also revealed that Taoiseach Micheál Martin closed the gap on McDonald and Leo Varadkar in satisfaction ratings.
Martin's satisfaction rating rose six points to 49%.
Overall government approval was also reported as being up three points to 47%.
The Sunday Times poll was conducted face-to-face from 4 to 18 May using a representative sample of 914 Irish voters aged 18 years and up.
