Kavanaugh, a veteran of such proceedings after 12 years on an influential USA appeals court, looked at ease as he asked several questions during two hours of lively oral arguments involving a federal sentencing law for repeat offenders.
More people believed California college professor Christine Blasey Ford, who accused Kavanaugh of trying to rape her when they were both high school students, and other women who accused him of misconduct than believed Kavanaugh's denials, according to the CNN poll.
Judicial Crisis Network, the "dark money" group that spent millions promoting Supreme Court Justice Brett Kavanaugh's confirmation effort, announced a new "six-figure TV and digital ad campaign" Tuesday in support of Sen.
The other eight justices were all in attendance for Monday's swearing-in by retired justice Anthony Kennedy at an entirely ceremonial event.
There were no disruptions in the courtroom.
A petition to impeach Justice Kavanaugh has more than 150,000 signatures.
"The way they really tortured him and his family, I thought it was a disgrace", Trump said on Monday, US east coast time.
Those who were there held signs saying "We will not forget" and "We do not consent", following the acrimonious fight that culminated in Kavanaugh's 50-48 Senate confirmation Saturday.
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Republicans had hoped to confirm Kavanaugh in time for the court's October 1 start of the new term.
The president said Kavanaugh overcame intense scrutiny by Democrats who considered him guilty and didn't want to give him due process. That doesn't mean that much of the anger and passion was inorganic, mind you, but the Professional Left clearly had a hand in shaping the optics - knowing exactly what sort of made-for-TV displays their allies in the mainstream media would eat up.
U.S. Supreme Court Associate Justice Brett Kavanaugh speaks during his ceremonial public swearing-in, in the East Room of the White House in Washington, U.S., October 8, 2018. Kavanaugh has also hired four clerks, all women, the first time that has happened.
The justices themselves have expressed concern in recent years about public perception of the court. Kavanaugh appeared less sympathetic to the defendants than Gorsuch. Kavanaugh was a judge on the D.C. Circuit for 12 years. Court watchers will be looking to see whether the new justice asks questions at arguments and, if so, what he asks. He will take notes for the justices when they meet for private conferences.
He later expressed regret over some of his comments.
But critics said Mr Kavanaugh's demeanor before the Senate Judiciary Committee raised questions about his temperament and potential political bias in deciding cases.
"Justice Kavanaugh will serve our country admirably on the court because he understands that the very best way to protect human dignity and freedom is by respecting and enforcing the limits on government power contained in our Constitution", said Leonard Leo, executive vice president of the Federalist Society, who has played a critical role in the selection of conservative judges for the Trump White House.
Kavanaugh was "caught up in a hoax that was set up by the Democrats", Trump said as he left the White House for a trip to Florida.