The Government will table a confidence motion in Minister for Housing Darragh O'Brien on Tuesday evening, it has been confirmed.
It means TDs will have to vote on whether they have confidence in Minister O'Brien.
The Government motion will take the place of the no confidence motion planned by People Before Profit on Wednesday.
Mr O'Brien is one of the few ministers who has been told he will be remaining in position after the reshuffle on Saturday 17 December.
The People Before Profit-Solidarity motion noted the "failure of the Government to deliver on the worsening housing and homelessness crisis which is tearing apart the social fabric of Irish society and leading to the scapegoating of refugees and International Protection applicants".
The motion noted failure by the Government on housing targets and homeless figures, as well as pointing to the Government's "failed temporary eviction ban" where tenants, such as those in Lower Rathmines Road, Tathony House and St Helen's Court are facing eviction once the ban is lifted.
Speaking on the motion of no confidence in the Housing Minister, TD Bríd Smith said: "We are moving this motion of no confidence in the Minister and his Government, not for personal reasons, but based on the fact that the housing crisis continues to deteriorate.
"The housing crisis has long been regarded as an emergency, but now we can see that it is an absolute catastrophe. Simply put, our housing system is broken thanks to successive failures of government policy.
"The crisis has gotten so bad that the number of people in emergency accommodation reached 11,397, the highest ever recorded. 3,480 of those in emergency accommodation in October were children," said Ms Smith.
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People Before Profit TD Paul Murphy said the party believed it was a good time to highlight the housing issue as the Government prepared for the transition of power, with Leo Varadkar set to become Taoiseach on 17 December.
He said that Ireland needed a "change of Housing Minister and a change of policy".
Mr Murphy said "we have reached breaking point on the Government's failure to deliver".
Housing starts were beginning to slow down and Ireland needed to focus on providing public housing, he added.
Earlier, Tánaiste Leo Varadkar said significant progress had been made on housing.
"Darragh O'Brien has been Housing Minister for just over two years now and we have made significant progress in a lot of areas," Mr Varadkar said.
The Tánaiste said there was room for more progress but that "sadly" homeless figures were going in the wrong direction, but he added that can be turned around.
He said that it was unfair to target the minister who he said he knew both personally and as a colleague.
"He's working really hard and doing absolutely everything he can to improve the situation when it comes to housing, and he has my full support and that of my party," Mr Varadkar said.
Sinn Féin spokesperson on Housing Eoin Ó Broin said his party colleagues will be supporting next week's Dáil motion of no-confidence in the Mr O’Brien.
"This is the worst Minister for Housing we have ever had," he said.
"The only way the housing crisis will be resolved will be with a new government, a new Minister for Housing and a new housing plan focused on delivering genuinely affordable homes for working people and families," he added.
Meanwhile, there was a 41% decrease in the number of homes approved for planning permission in the third quarter of this year, compared to the same period last year.
According to the CSO, 6,743 dwelling unites were approved for planning in the Q3 2022, in comparison to 11,428 in Q3 2021.
It said that housing units accounted for 65% of dwelling units approved, while apartments accounted for the remaining 35%.
Additional reporting Teresa Mannion, Mícheál Lehane
