Sinn Fein has tabled a motion of no confidence in the Taoiseach.
Caoimhghin O Caolain, the party's leader in the Dail, urged all TDs opposed to Brian Cowen's leadership of the country to vote against him.
The Cavan-Monaghan TD said the Taoiseach no longer commands a majority in the house.
"He should now put the issue to the test and allow a vote on the motion of no confidence which has been tabled by the four Sinn Fein deputies," Mr O Caolain said.
"Are we to continue with this charade which is an insult to the Irish people?
"They are being denied a democratic choice because Fianna Fail and the Greens want to put the people in the straitjacket of a savage and regressive budget, a four-year plan and an IMF/EU (International Monetary Fund/European Union) loan before a general election.
"Brian Cowen and his Government should go and go now."
A Sinn Fein motion states that the Taoiseach has misled and betrayed the Irish people and leads a Fianna Fail/Green Government which has totally mismanaged the economy and sold the nation's sovereignty to the IMF and EU.
The motion was put forward by Mr O Caolain and other Sinn Fein TDs Arthur Morgan, Martin Ferris and Aengus O Snodaigh, who was one of about 50 protesters who briefly breached the gates of Government Buildings during a march on Monday.
The party said it wanted to make a public call for a vote on the Taoiseach's future.