Fianna Fáil Leader Micheál Martin has said his party will make Government TDs vote "line by line" on the controversial measures in the Social Welfare Bill.
Sinn Féin Leader Gerry Adams has said his party will table a motion of no confidence in the Government next week.
Minister for Finance Michael Noonan and Minister for Public Expenditure and Reform Brendan Howlin have presented Budget 2013 in the Dáil.
A new property tax, child benefit reductions and a €250 increase in the student contribution charge are among the headline measures outlined in today's Budget.
The income threshold for entitlement to the student grant will be reduced by 3% and will apply to new and existing students.
The measures announced in Budget 2013 have been criticised in some quarters and welcomed in others.
The Minister for Social Protection Joan Burton, has told families facing a cut of up to one-third in their school-children's clothing and footwear allowance they can get very good value in some shops.
The new Local Property Tax is to start on 1 July 2013, for the second half of the year.
The Government says it is seeking to protect the most vulnerable people in tomorrow's Budget, however Tánaiste Eamon Gilmore has warned that it is going to be "very tough".
Government ministers have denied that there are any divisions between the coalition parties as they finalise the details of Budget 2013.
The Department of Finance has published its estimates of receipts and expenditure for 2013, in advance of the Budget.
Sinn Féin has published its Budget proposals, which include extra taxes on those earning over €100,000, a public service salary cap and a major reduction in tax relief.
Public Expenditure Minister Brendan Howlin has said it is likely that there will have to be a supplementary budget to deal with cost overruns in the Department of Health.
The Government is to invite public service unions to discussions on further cost reduction and productivity to ensure it meets its deficit targets by 2015.
Communications Minister Pat Rabbitte has said that the country will not pay the €3.1bn promissory note for former Anglo Irish Bank when it is due in March.