The 99 Problems hitmaker is suing the anonymous Jane Doe and her lawyers for malicious prosecution and defamation in an amended complaint filed on Monday.
He alleged the woman had "not stopped" making statements about him, despite agreeing in February to dismiss her sexual assault lawsuit against him voluntarily.
In documents obtained by Rolling Stone, Jay claimed that as recently as 11 April, the woman posted a lip-synched video on Tik Tok which stated: "You couldn't pay me a million dollars to get an apology video out of me, I stand on what I said, f**k you."
The amended complaint stated: "By refusing to apologise, and continuing to 'stand on what (she) said,' despite all the evidence and, indeed, her own admissions to the contrary, Doe continues to display a shocking and reckless disregard for the truth that is both intentional and malicious.
"Doe never had any reasonable grounds to support any truth in her statements and acted with reckless disregard for the truth. In other words, she lied."
Jay also accused lawyer Tony Buzbee of tampering with Wikipedia pages.
The filing stated: "Buzbee directed his employees to edit Wikipedia pages to enhance Buzbee's image and damage Mr. Carter's and Roc Nation's reputations.
"Users with an IP address directly linked to the Buzbee Firm made over 100 positive edits to Buzbee's Wikipedia page."
The amended complaint came in response to Jane Doe and her lawyer challenging his lawsuit by arguing he had failed to show the "special injury" needed to pursue his case and insisted his prior claim that Roc Nation lost out on an unspecified $US20 million ($A31 million) deal as a result were not sufficient.
However, in his amendment, Jay, whose real name is Shawn Carter, claimed the sum represented the "minimum fee guarantee" for an undisclosed contract, and the full figure would have been many millions of dollars higher had the contract been performed.
The 55-year-old rapper also alleged the rape accusation harmed his ability to pursue new opportunities.
The complaint stated: "As a result of defendants' filing of the false lawsuit and other false public statements against Mr. Carter, Mr. Carter was denied a $US55 million ($A86 million) personal credit line."
With AAP.
