Mrs. Giuffre accused the Le Duke de York for sexually assaulting her when she was 17, over 20 years ago.
The Duke denies all the allegations made against him.
His claim was filed in Manhattan U.S. District Court on Friday.
In court documents viewed by Sky News, Prince Andrew says the lawsuit should be dismissed because Ms Giuffre failed to “make a claim for redress” and asked the court to hold oral arguments on her request.
Representatives for Ms Giuffre have been approached for comment by Sky News.
Ms Giuffre, 38, sued the Duke in August, accusing him of forcing her to have sex when she was underage at the London home of Ghislaine Maxwell, the British socialite and former girlfriend of pedophile Jeffrey Epstein .
The lawsuit also alleges that Prince Andrew abused Ms Giuffre at Epstein’s mansion in Manhattan and on one of Epstein’s private islands in the Virgin Islands.
Duke Andrew Brettler’s lawyer on Wednesday called the trial ” unfounded And asked a judge to keep sealed a 2009 legal deal that he says may protect the prince from claims
The request was made in court documents in Manhattan Federal Court, where U.S. District Judge Lewis A. Kaplan is presiding over the dispute.
On Monday, Judge Kaplan ruled on Prince Andrew must be examined under oath by Ms. Giuffre’s attorneys in her civil sexual assault case by mid-July next year.
Prince Andrew has vehemently denied the allegations against him, telling the BBC in late 2019 that he had never had sex with Ms Giuffre, saying: ‘It never happened’.
Ms Maxwell is currently awaiting trial for sex trafficking, which she denies.
His brother, Ian, told Sky News he believed prison officers had ” physically abused his sister« .