The allegations against the nominee were "all made up, it was fabricated and it was a disgrace", Mr Trump said.
The prolonged nomination battle has roiled American politics and passions - the vote was disrupted on several occasions by angry protests from the gallery - but handed Trump one of the biggest victories of his presidency.
Kavanaugh is now Trump's second nominee to be seated on the high court, and the Senate has approved more circuit court judges this session of Congress than any other.
In the aftermath of Brett Kavanaugh's confirmation as a justice, former Attorney General Eric Holder sent out a tweet saying the legitimacy of the Supreme Court can be "justifiably" questioned. She stated that she believes Ford was assaulted - but not by the man she remembers being Kavanaugh.
"It unleashed something inside me. I do believe she was assaulted".
President Trump, who was on a November 6 mid-term election campaign trail in Kansas, called Kavanaugh to congratulate him on his confirmation and swearing in. "I think it's the end of whatever legacy she has worked so hard to achieve as a moderate", Amy Halsted, co-director of Maine People's Alliance, which helped start the fundraiser, told Rolling Stone.
Trump will have an additional opportunity to celebrate the confirmation Monday evening when he and Kavanaugh participate in a ceremonial swearing-in ceremony at the White House at 7:00 p.m. "Our base is on fire", claims Senate majority leader Mitch McConnell.
"We all toughed it out together and I have to thank the Republican senators that fought so hard for this because it wasn't easy", Trump said. You don't give up. That's what they have become.
He denied the allegations, but almost all Senate Democrats voted against his confirmation. Earlier this year, Pew published a staggering chart demonstrating how millennial women have largely abandoned the Republican Party. And even before the Kavanaugh controversy, the Senate race there was among a handful of close contests that could decide whether Republicans keep control of the Senate, where they have a 51-49 majority.
"The fact that they were willing to use Dr. Ford's story that was uncorroborated to launch character assassinations on Judge Kavanaugh did not sit well with voters".
Kavanaugh did gain some support since the late summer, with 41 percent of the public now backing his confirmation. Chief Justice John Roberts and retired Associate Justice Anthony Kennedy, whose seat Kavanaugh is inheriting, delivered the oath to the judge. She is a graduate of Harvard University and Stanford University, according to the Washington Post.
Ultimately, every Democrat voted against Kavanaugh except for Sen. Shouts of protesters disrupted the first few votes.
Things took an ugly turn in the last few weeks, when three women came forward with allegations that Kavanaugh had sexually assaulted them.
Polls have put her Republican opponent, Rep. Kevin Cramer, comfortably ahead.