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.
We're relieved and delighted by the Attorney General's decision.
It's truly an emotional day - it's been a long and painful process, with so many hurdles, but we never considered giving up.
Cheryl had her whole life in front of her; when our young people lose their lives serving their country, not only do they deserve a full and independent investigation into their deaths, it must be their absolute right.
We may now finally achieve a meaningful inquiry into her death and we hope it brings about real change for future recruits.
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 application was made to the Attorney General on the basis that the original inquest made insufficient enquiry into the circumstances of her death and because new evidence is now available that was not put before the inquest in December 1995.
The Attorney General granted his consent because he concluded that it was in the interests of justice for the application for a new inquest to go forward and to be heard by the High Court.
Labour have been granted an urgent question in the Commons to the Attorney General Dominic Grieve over the collapse of the case in the man accused of being behind the fatal bomb attack in Hyde Park in 1982:
Pakistan's High Commission has rebuked Attorney General Dominic Grieve for his "negative and divisive " comments about corruption in some ethnic minority communities.
The Attorney General has apologised after apparently suggesting to a newspaper that corruption is rife in Britain's Pakistani community.
Ever since the publication of this interview, the High Commission has been approached by thousands of diaspora members who have expressed their disgust towards these remarks by a senior Tory politician.
The High Commission for Pakistan to the UK finds these remarks by Mr Grieve MP ... totally unfounded towards the strong Pakistani diaspora in the UK that contributes nearly £30 billion to the British GDP and is in the forefront of efforts for cementing inter-faith and multi-ethnic harmony in a country home to millions of people of diverse backgrounds.
The Government's most senior law officer has apologised for any offence caused by remarks about corruption in Britain's Pakistani community.
Attorney General Dominic Grieve said in a statement: "If I gave the impression that there is a particular problem in the Pakistani community, I was wrong.
"It is not my view. I believe the Pakistani community has enriched this country a great deal as I know full well from my extensive contact with the community over a number of years. I'm sorry if I have caused any offence."
Tory MEP Sajjad Karim has hit out at the Attorney General Dominic Grieve describing his comments as "offensive," "divisive" and "ill-advised".
If Dominic has got any individual specific points he wants to make in relation to voter fraud or anything of that nature that's quite a separate issue and can be looked at.
But to try and generalise in this way and to paint all British Pakistani community members in a certain light, I'm afraid that is simply something that cannot be ignored and it is certainly not something that the British public at large will accept from Dominic at all.