"Distrust of the Government among the survivors of the Mother and Baby Homes is well documented, and the actions that have led to the media getting some details of the report before the survivors themselves only serves to reinforce this level of distrust", he said.
A report by the Commission of Investigation is set to reveal 9,000 children died in the facilities that were scrutinised.
The Sunday Independent says the report, due to be presented to Cabinet on Tuesday, found 56,000 women were sent to the 18 institutions between 1922 and 1998.
While Irish voters have overwhelmingly approved abortion and gay marriage in referendums in recent years, the Mother and Baby Home scandal has revived anguish over how women and children were treated in the not-too-distant past.
The Taoiseach is to make a State apology to survivors of mother and baby homes in the Dáil this Wednesday.
57,000 babies were born there but 1 in 7 didn't survive.
Local historian Catherine Corless found that 796 children were buried there.
The mothers were then separated from their children, who were housed elsewhere in the home and raised by nuns until they were adopted without the mothers' knowledge or consent.
The Government has also faced criticism over its mishandling of the report a year ago.
There was a huge backlash from survivors, campaigners and opposition parties after the Government passed controversial legislation that would allow a database created by the Mother and Baby Homes Commission to be sealed for 30 years.
"The leaking of these details shows an incredible disrespect to the survivors and their families, who have had to fight every step of the way to ensure that they get access to the truth about the operation of these institutions including Roscrea's Sean Ross Abbey", he said.
Upon its publication, a counselling service will also be made available to survivors.