Now 36, she said she was a 17-year-old when they first had sex.
Last week Prince Andrew was removed from public life, resigning from his royal duties after a widely criticised 'car-crash' interview with BBC Newsnight about his relationship with the convicted sex-offender Jeffery Epstein.
Giuffre previously shared her accounts of the sexual abuse she suffered at the hands of Epstein and Andrew, whom she claims she met through Epstein's girlfriend and alleged madam Ghislaine Maxwell.
Virginia Giuffre, the woman who has accused Jeffrey Epstein of sex trafficking her and Prince Andrew of sexually abusing her, in her first United Kingdom interview recalled the "really scary time in my life".
"It's fair to say everyone is nervously chewing their lips at Buckingham Palace to see what she will say".
Prince Andrew's accuser Virginia Giuffre is set to reveal more details about her allegations against the embattled prince, with a trailer released today ahead of her BBC interview on Monday.
"I didn't know Andrew and never met anyone from the royal household. And there's only one of us telling the truth", she added.
Epstein killed himself in August in a NY prison while he was being held on sex trafficking charges.
The prince has faced a growing backlash following an the Newsnight interview about his friendship with the United States financier.
In a statement on November 21 Prince Andrew said said he regrets his association with Epstein and that he "deeply sympathises" with his victims.
Companies he has links with, such as BT and Barclays, have joined universities and charities in distancing themselves from him.
"It was a really scary time in my life", Giuffre says in the interview.
The Duke of York has rejected her claims.
There are claims Prince Charles plans to focus the royal family on himself, his children and his grandchildren when he becomes king.
London's Metropolitan Police Service (MPS) said it had received an allegation in 2015 of non-recent trafficking against Epstein and a British woman whom it did not name.
"It related to events outside of the United Kingdom and an allegation of trafficking to central London in March 2001".
"Following the legal advice, it was clear that any investigation into human trafficking would be largely focused on activities and relationships outside the United Kingdom", he said.