Published Friday, 18 February 2011
The families, who are calling for an independent international investigation into the deaths, met with Peter Robinson on Friday.
Eleven people lost their lives including a mother-of-eight and a local priest in the 1971 shootings, which were carried out by the same British Army Parachute Regiment that six months later would killed 13 innocent civilians on Bloody Sunday in Londonderry.
Families of those killed are also calling for an apology from the Government.
John Teggart, whose father Danny shot dead, said: "We were able to go into details about exactly how they were murdered and how it affected the families afterwards with him, especially as First Minister and leader of the DUP, it was important for someone like him to understand that the state is responsible."
"It was worthwhile. He did give us some pointers and indicated we could look at civil prosecution, that in itself is worthwhile", he added.
The meeting lasted just over an hour. Speaking afterwards, Peter Robinson said he had "listened carefully" to the families.
"Today I met with and listened carefully to the views expressed by the people from Ballymurphy," he said.
"To lose a loved one is a painful experience. The way in which we deal with the past requires sensitivity. The DUP is of the view that a further raft of open-ended, costly inquiries is not beneficial."