Opposition parties have demanded outgoing Fianna Fail leader Brian Cowen set a new date for the general election.
Fine Gael leader Enda Kenny warned he will move a motion of no confidence in Mr Cowen as Taoiseach in the Dail next Tuesday unless he goes to the President to seek a dissolution of the Dail.
He said his party will also vote against the Government in next week's motion of confidence, previously put forward by the Labour Party.
Labour leader Eamon Gilmore said the Irish people do not want the Government to remain in office for another single day.
"It is simply not tenable for Mr Cowen to remain on as Taoiseach as his colleagues in Fianna Fail squabble over the remnants of their party," he said.
Meanwhile, Sinn Fein president Gerry Adams said Mr Cowen's decision will lead to further instability.
"The Government and Fianna Fail are in chaos. Their focus is not on the problems facing the country," he added.