Sinn Féin Leader Mary Lou McDonald has accused Fianna Fáil of continuing with what she said was Fine Gael's failed policies on housing.
Taoiseach Micheál Martin insisted that Government ministers are working in harmony as discussions on the upcoming summer economic statement continue today.
He rejected claims that there is a disagreement in Government around housing.
The Summer Economic Statement will outline the broad fiscal framework and it will be followed by the Housing for All strategy, which will signal a step change in the State's role in building housing, he said.
Mr Martin said the issue will not be one of resources, it will be one of delivery on the ground.
"I will lead a Government that will face you down," he said to Deputy McDonald, who accused the Taoiseach of reacting in a hysterical manner when being held to account for Government policy.
Social Democrats co-leader Catherine Murphy challenged the Taoiseach's contention that freezing rents for three years would be unconstitutional.
She told the Dail: "I don't accept that - at the very least it should be challenged.
"The only certainty that renters currently have is the date their rent is going to go up."
She added that she could see "very little" in what the Government was doing, which would lead to affordability in the housing market.
Ms Murphy said she agreed with Fianna Fáil's Jim O'Callaghan that his party does not understand the scale of the housing crisis, but added: "It's not just Fianna Fáil, it's the entire Government."
Calling for a three-year freeze on rents, rather than the Government's proposal of linking rent increases to inflation, Deputy Murphy said the Taoiseach had executed a "shameful u-turn" on cuckoo funds' ability to reduce their stamp duty liabilities.
In reply, the Taoiseach contended that "nothing motivates me more than to look at every available option when it comes to housing".
However, he said politicians need to be "solution driven", and argued that Government legislation like the Land Development Bill would "create pathways" for people to be able to access affordable rents and homes.
The Taoiseach said he recognised that housing is a "crisis facing society" and he welcomed the "comprehensive report" from the Residential Tenancies Board on the rental market.
He said the Government's Summer Economic Statement will have provisions for housing investment, but he added that solving the crisis will not "be one of resources, but one of delivery".
Deputy Murphy said Opposition TDs would be looking at the housing budget in the Summer Economic Statement to assess the government's intent.
Additional reporting: Paul Cunningham