Last week Liam Adams was found guilty of raping and abusing his daughter Aine during a six-year period over 30 years ago.
Aine, now aged 40, waived her right to anonymity in her pursuit of justice. She was aged between four and nine when the abuse took place.
During a first trial earlier this year, which was abandoned for legal reasons, the former West Belfast MP testified that he confronted his brother when they met in Buncrana, Co Donegal, in 1987 and that Liam Adams had denied the abuse.
Gerry Adams said the first time his brother confessed to him was when they were out walking together in the rain in Dundalk, Co Louth, in 2000.
He told police about the confession nine years later, in 2009, a month before the allegations were first made public in a UTV documentary.
At the time Gerry Adams told UTV he had always believed the allegations.
While the Director has confidence in the evidential decision taken by the PPS prior to his appointment he has asked the Attorney General to independently review the matter.
Last week it was revealed the PSNI had sent a file to the PPS recommending no prosecution over claims the Sinn Féin President had withheld information and the PPS directed no prosecution.
In a statement on Monday, a Public Prosecution Service spokesperson said the evidence will now be reviewed "independently" by John Larkin QC due to the "considerable public interest surrounding the decision not to prosecute".
"The Director of Public Prosecutions, Barra McGrory QC recognises that there has been considerable public interest surrounding the decision not to prosecute Mr Gerry Adams in October 2011 in relation to an allegation that he withheld information in connection with the Liam Adams case," the statement said.
"The Attorney General will be given full access to all materials that he considers necessary in order to complete this review."
The Attorney General said he will investigate the handling of the file relating to Gerry Adams.
Mr Larkin said he expected to complete his review "within two weeks" from the date on which all the evidence is received.
"On completion of the review the Attorney General will consult the Director before determining the extent and timing of any publication," a spokesperson added.
It is clear that there are some politicians and elements in the media who have decided to use this issue for opportunistic and party political reasons and who seek to politicise what is at its heart a family tragedy.
Gerry Adams, SF
The Sinn Féin President said: "I have no comment to make in respect of this decision. This is a matter for the legal authorities although I note that the PPS has said it has confidence in the evidential decisions taken previously in this case."
Last week Mr Adams refused to explain why he didn't go to the police earlier but insisted that authorities had been aware of the allegations for over 20 years.
Addressing the media, he said: "I have answered all of those questions in some detail, in a number of very extensive interviews."
He added there was a lot of disinformation about the case.
The DUP and UUP have welcomed the decision to investigate the matter.
DUP Lagan Valley MLA Paul Givan Givan, who chairs Stormont's Justice Committee, said: "There is a clear question of confidence in the PPS in respect of its handling of this case. It is critical that whilst everyone is equal before the law they are equally subject to the law.
"The public must have confidence in the criminal justice system to act impartially at all times."
Meanwhile the PPS has also confirmed Barra McGrory QC was Gerry Adams' solicitor in 2007 when he was first interviewed by the police about his brother.
A spokesman said that because Mr McGrory now is Director of Public Prosecutions "it wouldn't be appropriate for him to comment on any communication he had with a former client".
Liam Adams will be sentenced next month in Belfast.