She alleges Mr Kavanaugh exposed his genitals at a dormitory party and thrust them in her face, causing physical contact without consent.
In this new story, written by Ronan Farrow, a woman named Deborah Ramirez claims Kavanaugh put his exposed penis in her face at a dorm party during their freshman year at Yale sometime between 1983 and '84.
But the new allegations that were reported Sunday have prompted a key senator to call for "an immediate postponement" of any further proceedings by the committee, which is considering Kavanaugh's nomination.
Kavanaugh says the event "did not happen" and that the allegation is "a smear, plain and simple". But "it is not accurate to say that those who knew [Kavanaugh] at the time dispute this", he said.
In response to the New Yorker story, the White House sent out a list of "what you need to know", where it attempts to discredit Ramirez's allegations.
A White House spokeswoman adds in a second statement that the allegation is 'designed to tear down a good man'.
Michael Avenatti, the lawyer representing porn actress Stormy Daniels in her legal fight with Mr Trump, claimed to represent a woman with information about high school-era parties attended by Mr Kavanaugh and urged the Senate to investigate.
Tropical Storm Kirk forms off African coast
The storm is expected to reach the Lesser Antilles still at tropical storm strength by Friday, though some weakening is expected. They have maximum sustained winds of 25 mph and are about 350 miles east-northeast of the Windward Islands.
Ford, meanwhile, agreed to testify Thursday after an increasingly ugly weeklong standoff that saw her forced to leave her California home as she faced death threats and the president openly attacked her credibility.
The New York Times and Washington Post have stories. Judge also told the committee he has no memory of the incident and does not want to testify. But an anonymous classmate who did not attend the party told the New Yorker he's sure he was told about the incident at the time.
President Donald Trump is pledging his support for Supreme Court nominee Brett Kavanaugh, saying the sexual misconduct allegations against his choice are "totally political". Kavanaugh denied Ramirez's claims.
The White House remained firmly behind Kavanaugh Monday and planned an aggressive defense, said a White House official not authorized to speak publicly, who stressed the lack of corroborating evidence. An investigation needs to be conducted as part of Judge Kavanaugh's background investigation by career professionals at the FBI - not partisan staff of the Committee.
This will occur as a continuation of the hearing to consider Justice Kavanaugh's nomination to serve as an Associate Justice of the Supreme Court of the US.
Soon after, Senate Republicans issued renewed calls to accelerate the timing of a committee vote.
Kavanaugh and the White House vigorously denied the allegation Sunday night. Here are four reasons why Ramirez's accusations are even weaker than Christine Blasey Ford's. "The only reason I am involved is that Dr. Christine Blasey Ford remembers me as the other person in the room during the alleged assault".
Ford and Kavanaugh are set to testify before the Senate Judiciary Committee on Thursday to address the allegations after a week of fraught public negotiations between Ford's attorneys and Senate Republicans.