"Now at the eleventh hour with committee votes on schedule after democrats have spent weeks and weeks searching for any possible reason that this nomination should be delayed, now, now they choose to introduce this allegation", McConnell said.
But Conway said such testimony "should not unduly delay the vote". "I owe her an apology", said Biden, a Democrat.
"I have never done anything like what the accuser describes - to her or to anyone", Kavanaugh said.
Kavanaugh said in a statement distributed by the White House on Monday that he wanted to "refute this false allegation, from 36 years ago, and defend my integrity".
Earlier on Monday Feinstein pressed for a hearing before any committee action on the nomination.
President Donald Trump's Supreme Court nominee Brett Kavanaugh testifies before the Senate Judiciary Committee on Capitol Hill in Washington, Thursday, Sept. 6, 2018, for the third day of his confirmation hearing to replace retired Justice Anthony Kennedy.
Grassley said he was disappointed that Democrats - or Ford's attorney - had not come forward with the allegations sooner. "She took a lie detector test, she talked to this to her therapist - they were having family counseling, in part because of what happened to her - five years ago and told all the details, and third, to come out and say something like this puts you and your family through incredible scrutiny".
The senator added that she spoke with Kavanaugh about the allegations last week and reiterated that he denies them. He added he had "never done anything like what the accuser describes". Charles Grassley, R-Iowa, was handling the issue: "I applaud Chairman Grassley for immediately initiating the committee process for situations like this, which respects confidentiality". Dianne Feinstein of California, in July.
Kavanaugh has denied Ford's allegation.
Collins on Monday called for both Kavanaugh and Dr. Ford to testify before the Senate Judiciary Committee under oath.
A record number of women, majority Democrats, will be on the nation's ballots in the November 6 congressional elections. Jeff Flake - have urged the Judiciary Committee to delay the confirmation vote until the matter can be fully investigated. Marsha Blackburn, the Democrat insisted that Ford "should be heard".
The announcement comes four days after Republican members, in a committee business meeting, blocked four attempts by Democrats to subpoena the White House for the Kavanaugh documents.
Hatch also said there's "some question" whether Ford is "mixed up" and confusing Kavanaugh with someone else.
Supreme Court nominee Brett Kavanaugh has arrived at the White House amid scrutiny of a woman's claim he sexually assaulted her at a party when they were in high school.
Nearly a quarter - 23% - didn't know whether the Senate should vote to confirm Kavanaugh, slightly fewer than "didn't know" about Thomas in July (pre-Hill accusations) - 31%.
The White House and Kavanaugh deny any assault took place. Several said they got to know him well through sporting events, parties and other socializing or the phone calls that occupied teenage weeknights in the pre-texting era. It also sets up a public, televised airing of sexual misconduct allegations, reminiscent of the seminal hearings against Clarence Thomas in 1991, that could derail Kavanaugh's nomination altogether. But the president says Kavanaugh's nomination is "on track".
The Senate Judiciary Committee is due to vote on the nomination of conservative Judge Brett Kavanaugh on September 20, but in light of Ford's comments a number of committee members have urged holding off on a vote. "Revenge is a dish best served cold, as the philosopher once said". Trauma or fear can cause a person to wait to report an assault. He said that should happen after a thorough FBI investigation.
Mr Schumer told ABC's The View: "Trying to rush this through on Thursday is an insult to the women of America and an insult to the majesty of the Supreme Court of the United States". On Sunday, The Washington Post published an interview with Ford.