Kavanaugh said on Fox News Channel, "I've never sexually assaulted anyone".
Kavanaugh's confirmation would cement conservative control of the Supreme Court and advance Trump's goal of moving the high court and the broader federal judiciary to the right.
In a series of tweets sent out Friday morning, Trump threw into question the validity of professor Christine Blasey Ford's accusations of assault in the most direct way since the allegations against Kavanaugh came to light and said his Supreme Court nominee is "under assault by radical left wing politicians".
When The New Yorker first contacted Ramirez, it said she was reluctant to come forward, partly because of gaps in her memory because she had been drinking at the time of the incident.
Like Christine Blasey Ford, the professor accusing him of assaulting her when they were teenagers, Ramirez wants the FBI to investigate the incident, and Democratic lawmakers are backing their demands.
The other male classmate Ramirez said was involved in the incident told the magazine, "I have zero recollection".
"I am looking for a fair process, a process where I can defend my integrity and clear my name. I didn't see it; I never heard of it happening'".
Farrow, who sparked the #MeToo movement with his reporting on Hollywood mogul Harvey Weinstein, and Mayer write that they could not confirm "with other eyewitnesses that Kavanaugh was present at the party". The president showed no initial sign of wanting to walk away from Kavanaugh and expressed frustration that the confirmation process has not moved more quickly.
Mr Kavanaugh denied the story, calling it "a smear, plain and simple".
PAKISTAN CRISIS: Imran Khan rages at ‘ARROGANT’ India as nuclear talks CANCELLED
The decision comes hours after three Kashmir policemen were allegedly kidnapped and killed in Indian-Administered Kashmir, Indian media reported.
The Supreme Court nominee told Sen.
Trump was told about the New Yorker allegations Sunday in the hours before the piece's explosive publication, according to a White House official not authorized to speak publicly about private conversations.
On Sunday, The New Yorker dropped a bombshell story with an additional allegation against Kavanaugh from Deborah Ramirez, who attended Yale at the same time as him.
Feinstein wrote a letter to Grassley on Sunday arguing that the new report shows "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".
Trump also praised Kavanaugh as a "fine, fine man" and a "great scholar" who has been "great at everything he's ever done".
Ford committed to an "open" hearing after negotiators convened a call on Sunday, her attorneys said in a statement.
"This is not a criminal trial for which the involvement of an experienced sex crimes prosecutor would be appropriate", Bromwich said.
Protesters opposed to Kavanaugh's confirmation held a series of rallies in Washington, New York, Philadelphia and elsewhere. Several dozen were arrested after a peaceful protest blocked the D.C. office door of key swing vote Sen.
Kavanaugh and witnesses named by Ford have all denied knowledge or memory of the alleged incident.
Ramirez also recalled another male student yelling "Brett Kavanaugh just put his penis in Debbie's face", down the hallway, she said.
The controversy over Kavanaugh is unfolding just weeks before November 6 congressional elections in which Democrats are trying to take control of Congress from Trump's fellow Republicans, against a backdrop of the #MeToo movement fighting sexual harassment and assault.