Taoiseach Enda Kenny has called on members of the two Government parties to "calm down" with regard to comments they have been making about fellow deputies.
Mr Kenny said the Government has a serious job of work ahead and insisted it is doing a good job.
He was speaking after Fine Gael TD for Meath East Regina Doherty described as a storm in a teacup comments made by the FG party chairman in response to criticism of meetings between ministers and Michael Lowry after the publication of the Moriarty Tribunal report.
Speaking on RTÉ's This Week, she said Charlie Flanagan had indicated that he meant no harm when he asked on his Twitter account if Joan Burton had a government deathwish when she questioned the wisdom of holding meetings with Deputy Lowry.
Labour TD for Galway East Colm Keaveney said he stood over his description of Deputy Flanagan's criticism as cyber bullying.
Sinn Féin TD Mary Lou McDonald said the Government had to be seen to act in response to the findings of the Moriarty Tribunal against certain individuals.
Also today, Minister for Communications Pat Rabbitte aired his frustration at the time it is taking to secure prosecutions for corruption.
The Sunday Independent reported that he said it was unconscionable what he called the "interminable delay" in the investigations arising out of the Mahon and Moriarty tribunals.
Mr Rabbitte queried why so much time has elapsed and no banker has been brought to account for the destruction they have caused.
Justice Minister Alan Shatter responded by saying he too was frustrated, but said such inquiries take time. Those sentiments were echoed by the Taoiseach.