Supreme Court judge Mary Laffoy is to chair the Citizens' Assembly that will examine the issue of the Eighth Amendment.
Fianna Fáil had been pressing for a judge-led commission to deal with what is a politically sensitive area.
The Cabinet agreed Judge Laffoy's appointment at its meeting today.
The Programme for a Partnership Government commits the Government to establishing a Citizens' Assembly within six months and without participation by politicians.
The Assembly is to consider several topics apart from the Eighth Amendment and it will make a report to the Houses of the Oireachtas on each item.
The Cabinet met for the last time before the summer break.
It was also agreed to remove a proposal to impose a ten-year ban on people who are found guilty of corruption from serving in public office from the Criminal Justice (Corruption) Bill.
The legislation originally proposed that politicians and civil servants found guilty of corruption be forced out of office and banned from returning to their posts for up to a decade.
Minister for Communications Denis Naughten has said a task force to examine roll out of broadband across the country will find simple, practical steps to address slow progress.
Mr Naughten said this would include examining how to better use existing State assets.
Speaking on RTÉ's Morning Ireland, he said that long-term all State telecommunications infrastructure should be managed by a single entity.