Trump commented on the unsubstantiated allegations as Senate Republicans prepare to hear testimony from Kavanaugh and Christine Blasey Ford, the woman who accused him of sexual assault more than 30 years ago.
The New Yorker magazine reported Sunday night that Senate Democrats were investigating a second woman's accusation of sexual misconduct by Kavanaugh dating to the 1983-84 academic year, Kavanaugh's first at Yale University.
Kavanaugh has denied the accusations by Ford and Ramirez.
Kavanaugh flat out denies the incident, saying the allegations are "a smear, plain and simple".
She was unsure of his role in the incident at first, but after six days of carefully assessing memories and consulting with her attorney, Ramirez said she felt confident enough in her recollections to say she remembers it was Kavanaugh who had exposed himself.
Ford, now a California-based university professor, says Kavanaugh pinned her to a bed and tried to undress her when they were at a party in their school years.
The allegations, dating to the 1980s, have put in jeopardy the conservative federal appeals court judge's chances of winning confirmation in a Senate narrowly controlled by Trump's fellow Republicans.
Trump has also stated that he wishes for one of Kavanaugh's accusers, Christine Blasey Ford, to testify before the Senate with her allegations, so they can move on to confirming the judge.
Trump endorsed his appointee to the high court bench, calling him "a fine man" with "an unblemished past". "The White House stands firmly behind Judge Kavanaugh", Kupec added. Let her say whatever she has to say.
Kavanaugh has produced numerous statements of support regarding his behavior towards women both during his youth and soaring career.
Ford's attorneys say that several requests they have made of the committee have been refused, such as calling additional witnesses who Ford remembers being at the party, and having the FBI investigate her story.
The New Yorker has not confirmed with other eyewitnesses that Kavanaugh was present at the party. Colorado resident Deborah Ramirez tells The New Yorker Kavanaugh thrust his penis in her face at a party and caused her to touch it without her consent. Lindsey Graham said in a statement on Monday.
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.