Ceann Comhairle Verona Murphy has asked the Taoiseach to "review his remarks" made in Irish in the Dáil yesterday when he told Sinn Féin leader Mary Lou McDonald she was telling "lies".
Ms Murphy confirmed the move in a letter to Ms McDonald this afternoon.
Speaking during yesterday's Leaders' Questions session, Micheál Martin spoke in Irish to say the Sinn Féin leader was "ag insint bréaga" - which in English means "is telling lies".
Ms Murphy requested that the Taoiseach withdraw the comments after Sinn Féin's Finance Spokesperson Pearse Doherty intervened to alert the chair of what Mr Martin had said.
The Taoiseach replied that he never called the Sinn Féin leader a liar.
It followed a number of accusations made by Ms McDonald about the Government's approach to tackling the housing crisis, including reviewing rent pressure zones.
Read More: Moment of truth: Did Taoiseach accuse McDonald of lying?
Ms McDonald subsequently wrote to the Ceann Comhairle saying the Taoiseach should withdraw comments he made as Gaeilge as they were "baseless".
In response to the Sinn Féin leader's letter, Ms Murphy responded in a letter, saying:
"It may sometimes be necessary to review remarks after the event when the transcript is available. As I stated in the chamber, I did not hear the remarks myself.
"However, following Deputy Doherty's intervention, I raised the matter with the Taoiseach in the chamber and said that I would review the transcript at a later point.
"I have now had the opportunity to review the transcript. In view of the remarks made by the Taoiseach, I will copy this letter to him, along with a copy of the transcript, requesting that the Taoiseach review his remarks in the context of the rulings of the chair on parliamentary debate."
A Sinn Féin spokesperson has said: "The Taoiseach should take the earliest opportunity to come before the Dáil, withdraw his remarks, and correct the Dáil record on this matter."
Additional reporting Paul Cunningham
