The father of Private Cheryl James who died at Deepcut barracks, hopes his daughters death will be fully investigated if a new inquest takes place.
Des James says they may never know what happened to his daughter but her death must be investigated further.
Pte James was found dead after an apparent suicide in 1995. She was one of four soldiers who died at the barracks between 1995 and 2002.
The solicitor acting on behalf of the family, Emma Norton, says there is no guarantee that another inquest will take place.
Private James Collinson
Aged 17, from Perth, Scotland. Pte Collinson was found with a single gunshot wound through his chin in March 2002.
Private Cheryl James
Age 18, from Llangollen, north Wales. Pte James was found dead with a bullet through her forehead, in November 1995.
Private Sean Benton
Aged 20, from Hastings in East Sussex. Pte Benton was found dead with five gunshot wounds while on guard in June 1995.
Private Geoff Gray
Aged 17, from Seaham in County Durham. Pte Gray was found dead with two gunshot wounds to his head while on guard duty in September 2001.
The family of Cheryl James say they are relieved at the Attorney General's decision to allow them permission to apply for a fresh inquest into the death of their daughter.
Pte James was one of four soldiers who died at Deepcut barracks in Surrey between 1995 and 2002.
A Ministry of Defence spokeswoman said: "Our thoughts remain with the family and friends of Private Cheryl James.
"This decision is a matter for the Attorney General and the courts. "If a new inquest is ordered, we will of course provide support to the coroner when needed."
Private James' parents, backed by Human Rights campaign group Liberty, called for a fresh inquest into her death, lodging an application with the Attorney General for consent to apply to the High Court for one.
Today a spokesman for Dominic Grieve said he had granted his consent.
The spokesman said:
The Government's chief legal adviser has given permission to the family of a young Army recruit who died at Deepcut barracks to apply for a fresh inquest into her death.
Attorney General Dominic Grieve QC has granted Private Cheryl James' family consent to apply to the High Court for a new inquest into her death, nearly a decade after it happened.
Pte James, 18, was undergoing initial training at Deepcut Barracks when she was found with gunshot wounds in November 1995.
She was one of four young soldiers who died at the barracks in Surrey between 1995 and 2002, sparking allegations of bullying and abuse.