Senior counsel George Birmingham will investigate the case of Dean Lyons, who made a false confession about the deaths of two women in 1997.
Mary Callinan and Sylvia Shiels were found dead in Grangegorman, Dublin, in March 1997.
Both women suffered multiple stab wounds from an attacker who broke in to their home.
Mr Lyons, who died four years ago, was arrested shortly after the killings, but made a false confession.
The 24-year-old was held in custody for nine months.
The Commission will be established under the Commissions of Investigation Act 2004 and will be independent with full statutory powers to investigate the matter and to take sworn evidence.
The action follows the Minister's appointment earlier this year of Shane Murphy SC, to complete an independent review of Garda papers and action taken regarding these matters.
While Mr Murphy's report itself made a significant contribution to progressing the matter, he did not have the power to examine persons under oath and determine matters of fact.
He recommended that the best method to resolve the issues was to establish a full Commission of Investigation.
As well as looking into issues specific to the Dean Lyons case, he also recommended that the adequacy of Garda protocols and procedures regarding the assessment of the fitness of witnesses to be interviewed should be examined.
