Justice Minister Alan Shatter said he regretted that the laundries were not investigated until 2011.
I am sorry that the state did not do more and the Government recognises that the women alive today who are still affected by their time in the laundries deserve the best supports that the state can provide.
It can no longer be claimed that these institutions were private and that 'the vast majority' of the girls and women entered voluntarily as has been claimed by former minister Batt O'Keeffe and testimony before the UN Committee Against Torture given by Sean Aylward, the former secretary general of the Department of Justice.
The Justice for Magdalenes group said it was aware of at least 988 women who are buried in laundry plots in cemeteries across Ireland and therefore must have stayed for life, however, the inquiry could only certify 879.
The last laundry, Sean MacDermott Street in Dublin's north inner city, closed in 1996.
He said: "That the stigma, that the branding together of the residents, all 10,000 needs to be removed and should have been removed long before this and I'm really sorry that that never happened, and I regret that never happened.
"I'm sorry that this release of pressure and understanding of so many of those women was not done before this, because they were branded as being the fallen women, as they were referred to in this state."
An 18 month inquiry into Magdalene laundries chaired by Senator Martin McAleese has identified five areas where there was direct state involvement in the detention of women in 10 laundries run by nuns.
They were detained by courts, gardai, transferred by industrial or reform schools, rejected by foster families, orphaned, abused children, mentally or physically disabled, homeless teenagers or simply poor.
Inspectors, known as "the suits" by the women, routinely checked conditions complied with rules for factories.
Government paid welfare to certain women in laundries, along with payments for services.
Women were also enabled to leave laundries if they moved to other state-run institutions such as psychiatric hospitals, county and city homes and in the company of police, probation, court or prison officers.
The state also had a role in registering the death of a woman in a laundry.