Kavanaugh vehemently denies the accusation.
He reiterated his earlier claims Tuesday that nowadays you are "guilty until proven innocent", and stepped up his line of argument that men are under attack in America, without mentioning survivors of sexual assault.
Trump, while making his case that Kavanaugh deserves a spot on the Supreme Court, told the rally crowd in MS, "I don't even know him. I respect her position very much", Trump said to reporters on Monday.
The fight over Kavanaugh's nomination comes against the backdrop of the #MeToo movement fighting sexual harassment and assault that has toppled a succession of powerful men.
Trump ordered the FBI investigation last Friday, limiting its duration to no more than a week. It was not immediately clear if Kavanaugh dropped out due to anticipation that he would be serving on the Supreme Court. Depending on how Republicans perform on November 6, the eyes of the nation could fall on a November 27 MS runoff in what could become an expensive and high-profile race to determine control of the Senate.
Trump has likewise denied the allegations made against him. It really does. You could be somebody that was ideal your entire life, and somebody could accuse you of something. Trump said, role-playing a conversation between a son and mother.
Other people questioned include people who were said to have been present at a high school party where California professor Christine Blasey Ford says she was assaulted as a teenager in the early 1980s.
Christine Blasey Ford as "credible", mocked her Senate Judiciary Committee testimony at a campaign rally in Mississippi Tuesday.
"What neighbourhood was it in?" 'I don't know.' Where's the house? I don't know. Upstairs, downstairs, where was it?
Imitating Ford, he added, "But I had one beer - that's the only thing I remember". The Post said the probe would now encompass the allegations of a third Kavanaugh accuser but wouldn't take an unfettered look at Kavanaugh's drinking or as a young man or examine the veracity of his statements about his drinking at the Senate Judicary Committee hearing last week.
Kavanaugh's confirmation to the Supreme Court has been delayed as the FBI conducts an investigation into allegations made by three women that he sexually assaulted them or others decades ago. I have it myself all the time. "We simply can't", Flake said at an event sponsored by The Atlantic magazine.
"Your vote in this election will decide which party controls the United States Senate", Trump said.
Mississippi Sen. Roger Wicker, former chairman of the National Republican Senatorial Committee, said that the debate over Kavanaugh is energizing voters in both parties. Flake is a key GOP vote in the confirmation battle, and while he said last week he would vote to confirm Kavanaugh, he also called for an expanded FBI investigation that resulted in a one-week delay.
If Democrats win the Senate, Kavanaugh would be a non-starter.
She lauded Trump and said to the crowd: 'Is he not the best president we have ever had?'
■ The New York Times, citing two people briefed on the matter, reported Monday afternoon that the White House had authorized the Federal Bureau of Investigation to interview anyone it deemed necessary as long as the probe was finished by the end of the week.
A lawyer for Mr Judge - a childhood friend of Mr Kavanaugh - said on Monday that his client's interview "has not been completed".
The judge vehemently denies that.
Ford's lawyers said on Tuesday she had offered her full cooperation with the FBI in its investigation but had received no reply. On Friday, Sen. Jeff Flake of Arizona broke with his fellow Republicans and said that although he supported moving Kavanaugh's nomination out of the committee, he called for the FBI to investigate credible allegations against Kavanaugh.
Ford admitted she hasn't always been sure of when specifically the alleged attack occurred, but said that establishing Judge's time of employment at the Safeway store would narrow the timeframe.