Campaigners for the victims of the 1974 Dublin and Monaghan bombings, which claimed 33 lives, met the Fine Gael leader today.
An independent inquiry into the atrocities is under way and its findings are due to be published later this year.
The Justice for the Forgotten group are seeking Mr Michael Noonan's "full commitment" to the inquiry following concerns over his predecessor Mr John Bruton's "qualified support" for the process.
On May 17th, 1974 three car bombs exploded in Dublin city centre, killing 26 people and injuring more than 200.
Ninety minutes later, a car bomb in Monaghan killed seven and more than 40 were injured.
Ms Margaret Urwin, secretary of the group, said they wanted Mr Noonan to "bring pressure to bear" on the Government.
She said: "We also want to discuss the lack of movement on the implementation of the Victims Commission report. Several recommendations were made in terms of payments to families and the availability of counselling.
"The report should have been implemented last February - we are 14 months down the road and there has been nothing."
An independent private inquiry into the bombings has been established, initially under Mr Justice Liam Hamilton and then, following Mr Hamilton's death, Mr Justice Henry Barron.
The Barron inquiry's report is to go before a public hearing of the parliamentary justice, equality and women's rights committee later this year.
Ms Urwin added: "The survivors are getting old and are dying and they want to see a resolution in every way."
PA