"On behalf of our nation, I would like to apologize to Brett and his family for the bad pain and suffering that you have been forced to endure", Trump, standing in the East Room of the White House, said in the televised event.
In court, Kavanaugh asked questions of both sides in arguments over increased prison sentences for repeat offenders. Kavanaugh, in contrast, is expected to be a more decidedly conservative vote, tilting the court right for decades and leaving Roberts as the justice closest to the ideological middle.
Trump sees his success in getting Kavanaugh onto the court - tilting the crucial body to the right for potentially years to come - as one of the major successes of his turbulent two-year administration.
Kavanaugh's wife and two daughters were in seats reserved for justices' guests, along with retired Justice Anthony Kennedy.
With police standing by, a small group of protesters demonstrated outside the courthouse, holding signs saying "Shame" and "He sits on a throne of lies", while chanting, "This isn't over, we're still here".
There were no disruptions in the courtroom and the justices laughed at each other's jokes.
Davante Adams returning to practice, Randall Cobb ruled out vs. Lions
Cobb did not play in Green Bay's win over the Bills because of a hamstring injury while Adams has been dealing with a calf issue. I think they're progressing, but it's easy to say that in practice. "He's super competitive", McCarthy said Wednesday.
Senators had voted 50-48 on Saturday to confirm Mr Kavanaugh's appointment after three women made allegations of sexual misconduct, which he emphatically denied.
Republicans had hoped to confirm Kavanaugh in time for the court's October 1 start of the new term.
178 years is what it took for a person of colour to join the court. In addition to all of the Supreme Court justices, attendees included conservative commentator Laura Ingraham, Senate Majority Leader Mitch McConnell, R-Ky., and deputy attorney general Rod Rosenstein. Gorsuch responded with a faux grimace of pain.
Brett M Kavanaugh was sworn in as an Associate Justice of the Supreme Court of the United States after a bitterly divided Senate confirmed him Saturday.
The cases challenge the types of crimes that qualify as violent felonies under that law and can lead to 15-year mandatory minimum sentences for a defendant.
Mark Hughes: Time will tell where Eden Hazard sits in Chelsea’s history
It's very important for him to score, but I think it's very important for him to play a good match. "But I'd love to stay at the club".
"I think a lot of Democrats are going to vote Republican", Trump added.
"However much we might sympathize or agree with EPA's policy objectives, EPA may act only within the boundaries of its statutory authority", Kavanaugh wrote in the ruling.
114 Justices (including Kavanaugh) have been appointed to the Bench since the Supreme Court was established in 1789.
Despite the esoteric nature of the two cases being argued today - both involving mandatory sentencing enhancement policies - the New York Times is live-blogging the events at the courthouse and notes that long lines have developed to get in to see the action.
Justice Kavanaugh's nomination had appeared safe until Christine Blasey Ford, a university professor in California, last month went public with allegations that the judge had sexually assaulted her in 1982 when they were high school students in Maryland. Kavanaugh, however, claimed all the allegations to be false.
He later expressed regret over some of his comments.
Police Questioned Brett Kavanaugh About Bar Fight While At Yale In 1985
The man noticed Ludington, Kavanaugh and the others looking at him and - according to Ludington - aggressively asked them to stop. According to the police report , Kavanaugh was reluctant to say whether "he threw the ice or not".