Prince Andrew has settled a civil sexual assault case brought against him in the US by Virginia Giuffre.
Ms Giuffre had been suing the Duke of York, claiming he sexually assaulted her on three occasions when she was 17, allegations he has repeatedly denied.
A letter filed to the US district court on Tuesday said the duke and Ms Giuffre had reached an out-of-court settlement.
It said the duke - who makes no admission of liability - would pay an undisclosed sum to Ms Giuffre.
In a letter to US judge Lewis A Kaplan, Ms Giuffre's lawyer David Boies wrote jointly with Prince Andrew's lawyers to say the pair had reached "a settlement in principle".
A statement included with the letter read: "The parties will file a stipulated dismissal upon Ms Giuffre's receipt of the settlement (the sum of which is not being disclosed)."
It said the duke would make a "substantial donation to Ms Giuffre's charity in support of victims' rights".
Prince Andrew, the statement added, had "never intended to malign Ms Giuffre's character" and he recognised she had "suffered both as an established victim of abuse and as a result of unfair public attacks".
The duke also pledged to "demonstrate his regret for his association" with the late convicted sex offender Jeffrey Epstein by supporting the "fight against the evils of sex trafficking, and by supporting its victims".
He also commended the "bravery of Ms Giuffre and other survivors in standing up for themselves and others".
Prince Andrew's lawyers had previously said he was ready to go before a jury to fight Ms Giuffre's claims, with a trial expected later this year.
His representatives said he had no comment beyond what was said in the document filed to the court. Buckingham Palace declined to comment on the settlement.
Although the exact amount of the financial settlement has not been revealed, reports have speculated that it could run into millions of pounds.
It has prompted questions about how the duke - who receives a Royal Navy pension and a stipend from the Queen's Duchy of Lancaster income - will fund the settlement.
Kate Macnab, a lawyer at Reeds Solicitors, says: "It is likely there will be some demands to know where the payment is coming from - public or private purse?"
Graham Smith from the anti-monarchy group Republic said taxpayers deserved to know where the money for the settlement was coming from.
Ms Giuffre, who was previously known as Virginia Roberts, claimed she was the victim of sex trafficking and abuse by financier Epstein from the age of 16. Epstein died in prison in 2019 while awaiting a sex trafficking trial.
She said part of the abuse saw her lent out to powerful men, including Prince Andrew, who is the third child of the Queen and ninth in line to the throne.
Ms Giuffre, now 38, claimed the duke, 61, sexually assaulted her on three occasions when she was 17 at Ghislaine Maxwell's home in London, in Epstein's mansion in New York and on Epstein's private island in the US Virgin Islands.
In a 2019 interview with BBC Newsnight, Prince Andrew said he had no memory of ever meeting Ms Giuffre and said her account of their London meeting and sex at a house in Belgravia "didn't happen".
He also said knowing Epstein had had "some seriously beneficial outcomes", at a time when he had left a career in the Navy and begun one as a trade and industry special representative.
In January, the United States District Court for the Southern District of New York ruled that the civil action over him could go ahead.
Buckingham Palace later announced that Prince Andrew's military titles and royal patronages had been returned to the Queen and that he would defend Ms Giuffre's civil case as a "private citizen".
A royal source said he would also stop using the title His Royal Highness in an official capacity.
Lisa Bloom, a lawyer representing several of Epstein's accusers, welcomed the duke's settlement as a "victory" for Ms Giuffre.
In a statement on Twitter on behalf of her clients, she wrote: "We hail Virginia's victory today. She has accomplished what no-one else could: getting Prince Andrew to stop his nonsense and side with sexual abuse victims. We salute Virginia's stunning courage."
The settlement is likely to come as a relief to the Royal Family, BBC royal correspondent Nicholas Witchell said, as it means the prospect of a trial will not disrupt the Queen's Platinum Jubilee celebrations.
He said the duke could have been under pressure from within his family to settle the case to avoid further public court hearings.
Source: BBC