But it said that the nomination was no longer in the interests of the country and "should be withdrawn".
"I look forward to what she has to say", Trump said.
"I will be voting no on Judge Kavanaugh's nomination".
Mark Judge, a high school classmate of Kavanaugh's who Ford claims was in the room while she was sexually assaulted, has agreed to cooperate with the Federal Bureau of Investigation. Text "NEWS" to 22840 and always receive verified news updates. "But certainly [Ford] was a very credible witness".
Mr Kavanaugh told the committee that he "categorically and unequivocally" denies the allegation by Dr Ford.
Trump said he was skeptical because he personally had been the target of "false statements" in the past made by various women.
"To my Republican colleagues, if you vote no, you're legitimizing the most despicable thing I have seen in my time in politics", he said. Some of these Democrats have indicated that they're still undecided on Kavanaugh.
Within moments of the eight-hour proceedings concluding, Trump tweeted his approval of Kavanaugh's performance and called on the Senate to move swiftly to a vote.
Only Trump can order the FBI to reopen the investigation.
However, despite being pressed repeatedly by Democrats to call for an FBI investigation into the claims of Ford and others, Kavanaugh declined to do so, saying instead: "I welcome whatever the committee wants to do".
Kavanaugh proclaimed his innocence, denying Ford's allegation again and vowing defiantly: "You may defeat me in the final vote, but you'll never get me to quit".
"This is ridiculous and from the Twilight Zone", he said in a statement.
She told the committee she feared Kavanaugh would rape and accidentally kill her during the alleged assault: "Brett groped me and tried to take off my clothes".
Flake requested the Senate vote be delayed for one week to let the FBI conduct an investigation.
But a spokesman for the committee told AFP the letter lacked credibility and the panel had no way to investigate the matter because the complaint was anonymous. They added that Trump expressed some frustration at the process - and the staff work - that led Kavanaugh to this point.
Kavanaugh's angry partisan outbursts - at times through tears - are unprecedented, and could leave a large swath of Americans feeling like his decisions pertaining to any cases related to Democrats will be neither impartial nor fair. In Kavanaugh's testimony, he also said he was "100%" sure he did not sexual assault anyone.
An attorney for PJ Smyth, another person who Ford said was in the house when she was attacked, said his client "is happy to cooperate fully with this FBI investigation".
"And it is a time to talk with them honestly and even bluntly about what respect for others, especially respect for women and other marginalized people means in very practical terms_in actions and in words", Van Dyke wrote to the school community September 20.
These ATF and ICE investigators, however, so far apparently haven't spoken to Judge or other people directly connected with the allegations made by Ford and the other women.
White House officials believe Kavanaugh's passionate denials of Ford's claims, including the judge's tearful description of the impact the accusations had on his family, met the challenge. "And outraged." Kavanaugh said. "Don't look away from me".