A Sinn Féin motion on the Dublin and Monaghan bombings was supported by all party leaders in the Dáil tonight.
The motion is similar to one that was adopted unanimously by the Dáil three years ago.
It urges the Taoiseach to ask the British government to show all the documents it has about the 1974 bombings to an independent judicial figure.
Sinn Féin's Caoimhghín Ó Caoláin welcomed the fact that the motion was supported by Taoiseach Enda Kenny, Tánaiste Eamon Gilmore and Fianna Fáil leader Micheál Martin.
Mr Ó Caoláin said the motion was also supported by Joe Higgins and Richard Boyd Barrett for the Independents.
Minister for Justice Alan Shatter said the Taoiseach will ask British Prime Minister David Cameron to allow access to all British documents about the bombings when the two men meet in Dublin tomorrow.
UK Foreign Secretary William Hague said there were legal constraints on what can be released.
'But we can discuss these things further,' he said.
Relatives of those who died in the bombings earlier said the visit by Britain's Queen Elizabeth II provided a 'golden opportunity' for Mr Cameron to announce an opening of British security files.
The relatives said if the Queen's visit was one of reconciliation it would be greatly enhanced if the files were opened up.
They said they represented a final piece of the jigsaw in the search for the truth about what had happened.
The bombings claimed the lives of 34 people on this day 37 years ago.
Those who carried out the no warning attacks in Dublin city centre have never been caught, with questions often asked about what the British security forces knew about the operation.
