After POTUS was finished torching Democrats and Ford, Kavanaugh spoke of being a "force for stability and unity".
Kavanaugh was "caught up in a hoax set up by the Democrats", Trump told reporters, without elaborating.
Media captionDonald Trump's nominee has been embroiled in a bitter battle over sexual assault allegations.
The official swearing-in had take place on Saturday, but Trump chose to replicate the event this evening in the East Room of the White House. "You, sir, under historic scrutiny, were proven innocent".
Kavanaugh said at the swearing-in ceremony on Monday that "the Senate confirmation process was contentious and emotional".
Justice Kavanaugh has followed up on his pledge to hire women to serve as his law clerks, becoming the first justice to have an all-female staff.
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Mr. Trump has continued to laud Kavanaugh's character and intellect, following allegations of sexual misconduct that roiled Kavanaugh's confirmation process for weeks.
Late on Monday, Trump will be able to rub salt into opponents' wounds when he hosts a formal swearing-in ceremony. Kavanaugh replaced Kennedy on the bench.
"I think a lot of Democrats are going to vote Republican", he said in his earlier comments outside the White House. Justice Kavanaugh took the two required oaths privately at the court last Saturday, letting him begin work right away. With Kavanaugh's ascent to the nine-member high court, Trump now has filled two vacancies on the court from his list, including Neil Gorsuch past year.
Independent court analysts, however, predict Kavanaugh is likely to concur with more conservative interpretations of the law, given a solid 5-4 ideological edge on the court to those who lean to the right.
Senator Chris Coons of DE called impeachment talk "premature", while House Minority Leader Nancy Pelosi said it "would not be my plan" to impeach the justice.
Democrat Jerrold Nadler, who is in line to chair the House Judiciary Committee if his party wins a majority in the mid-terms, said that he would be prepared to open an investigation into the top judge.
The political theorist Jacob Levy points out that if all this were to happen, then the political aspirations and values of a minority of Americans will dominate or have gone a long way towards shaping the White House, the Supreme Court, and both houses of Congress. Levy posits that one can still fundamentally accept many countermajoritarian aspects of our system while also finding such an across-the-board outcome deeply troubling.