His nomination was greeted by staunch protest in the District with thousands of anti-Kavanaugh protesters swarming Capitol Hill over the past week.
Roberts was appointed by Bush in 2005 and has been characterized as the most centrist conservative on the court.
A few hundred protesters are gathering outside the Capitol before the vote.
A smaller group of Kavanaugh supporters also gathered.
He's also praising Republican Sen.
Kavanaugh replacing retiring justice Anthony Kennedy was controversial from the start - but the initial focus was exclusively on the conservative views held by the married father of two.
The White House has not yet formally announced a time for Kavanaugh's swearing-in. Lisa Murkowski (AK) was the only GOP senator who opposed his confirmation, although she voted present Saturday to offset the absence of Sen. The session was presided over by Pence.
"They want a court that will fight to uphold Citizens United and allow unlimited money in our political system, but not for a loving same-sex couple to join together in marriage". McConnell called Kavanaugh "among the very best our nation has to offer." Sen.
Kavanaugh's now 53 years old, which means he likely has decades as a justice ahead of him. Dianne Feinstein (D-Calif.) received a letter with allegations of sexual assault against Kavanaugh from Christine Blasey Ford, requesting anonymity.
The Time's Up campaign praised a turning tide in USA attitudes, but said "it's heartbreaking but not surprising that this small group of largely white men made a decision that valued the career of one man above all else".
It was the closest vote on a Supreme Court Justice since 1881, when the Senate approved Justice Stanley Matthews by a vote of 24-23.
The month's long battle over the nomination has roiled American passions - the vote was disrupted on several occasions by angry protests in the gallery - but handed Trump one of the biggest victories of his presidency. I think she's got a level of respect that's unbelievable. "She didn't stop", Trump said.
The Senate confirmed the nomination with a vote of 50-48.
Kavanaugh was officially sworn-in during a private event at the Supreme Court on Saturday.
One of those women, Debbie Ramirez, a classmate of Kavanaugh's at Yale University in the 1980s, issued a statement on Saturday saying that as she watched the Senate debate, "I feel like I'm right back at Yale where half the room is laughing and looking the other way".
The vice president can vote in the event of a Senate tie.
But when asked whether she believed Ford, the first lady would not answer directly. The crowd has been chanting, "November is coming!" and "Vote them out!" Susan Collins (R-ME) and Manchin voted to confirm Kavanaugh.
"I want to thank the mob, because they've done the one thing we were having trouble doing, which was energizing our base", he said. "Only 32 percent of Republicans polled agreed with Murkowski". "If he does not get it, they will portray this as a political hit-job to try and get Trump's base out", Jeanne Zaino, a professor or political science at Iona College in NY, told The Independent.
"Going forward, you can count on me to be the same kind of judge and person I have been for my entire 28-year legal career: hardworking, even-keeled, open-minded, independent and dedicated to the Constitution and the public good", he wrote.
Murkowski is not up for re-election until 2022.
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