Kavanaugh denied the allegations and during a Senate hearing on September 27 accused Democrats of an "orchestrated political hit". "Today we are unleashing the power of E15 to fuel our country all year long, not 8 months" he said.
Biskupic described the scene as Kavanaugh listened to arguments for the first time and the significance of hearing him addressed by his new title.
"On behalf of our nation, I want to apologise to Brett and the entire Kavanaugh family for the awful pain and suffering you have been forced to endure", Trump said at a White House ceremonial swearing in ceremony of Kavanaugh.
U.S. Sen. Dianne Feinstein, D-Calif., ranking member of the Senate Judiciary Committee, speaks to reporters about an Federal Bureau of Investigation report on sexual misconduct allegations against Supreme Court nominee Brett Kavanaugh, on Capitol Hill, Oct. 4, 2018.
All eight of the Supreme Court's other justices attended the White House ceremony, a show of collegiality by members of an ideologically divided court.
In an interview with The Associated Press, the Kentucky Republican cited the Trump administration's "extraordinary" success with the GOP-controlled Congress - including a growing economy, two new Supreme Court justices and congressional action to cut regulations and taxes.
Before hearing arguments on Tuesday, the justices turned aside appeals of a 2017 ruling authored by Mr Kavanaugh on the lower court that struck down a 2015 environmental rule imposed under former President Barack Obama regulating a potent greenhouse gas linked to climate change.
Kavanaugh took his seat at the end of the bench to Roberts' far left, a visible manifestation of a moment that Republicans have dreamed of for decades, with five solidly conservative justices on the court, and Democrats have dreaded.
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The day before the Kavanaugh vote, it received $40,000.
"On behalf of our nation, I want to apologize to Brett and the entire Kavanaugh family for the awful pain and suffering you have been forced to endure", he said at the ceremony. He added however that if someone else were to take over the role of committee chair, "they'll have to decide for themselves, but that's a decision I made a long time ago".
Kavanaugh has also begun moving in to his new office at the Supreme Court, taking over space previously used by Justice Samuel Alito, who moved into offices vacated by Kennedy.
Then, just as his confirmation seemed inevitable, 11th-hour allegations emerged that Kavanaugh sexually assaulted a 15-year-old girl while at high school and exposed himself to a female classmate at an alcohol-fueled dorm party at Yale University. Kennedy was a more moderate conservative who sometimes sided with the court's four liberal justices. But the justices, who often highlight their efforts to work together as a collegial body, are likely to focus on the cases before them.
The nomination went forward, and Kavanaugh was confirmed in a slim 50-48 vote on Saturday.
But when asked again Sunday about it, he said different rules might apply if the same party controls the Senate and White House.
The bruising campaign to install Kavanaugh onto the court could leave a mark on his reputation and on public confidence in the institution, legal experts say.