A formal investiture ceremony will be held in the courtroom at a later date, the court said in its statement.
Kavanaugh's confirmation seemed all but sure on Friday when key Republicans and one Democrats, who had been undecided on the nomination, said they would support the judge.
The fallout worsened what had already become a deeply partisan confirmation process.
They chanted, "Vote them out!"
'I had one beer that's the only thing I remember!' Trump said as the crowd cheered. Lisa Murkowski voted against moving the nomination forward.
He then even suggested women should outnumber men on the Supreme Court.
With Kavanaugh taking a seat on the bench, the court is now majority conservative. "Later today, I will sign his Commission of Appointment, and he will be officially sworn in".
Professors from Harvard, where Kavanaugh previously taught, and Yale, Kavanaugh's alma mater, have also signed the letter.
"We've been wondering how we can fire up our own people because we know the Democrats are energised going into an off-year election", McConnell said before the vote on Saturday.
Los bancos deberán reembolsar en dos días hábiles un cargo no reconocido
Uno de los cambios más importantes propuesto en la circular del Banco de México es la protección a usuarios de tarjetas de débito ante cargos no reconocidos .
On the other side, Senate Democratic leader Chuck Schumer of NY called the fight "a sorry epilogue to the brazen theft of Justice Scalia's seat".
With divisive cases on abortion rights, immigration, transgender rights and business regulation headed for the court, Mr Kavanaugh would likely give conservatives the upper hand.
If at least 50 senators vote to move forward with the nomination on Friday, Vice President Mike Pence can step in to break a tie, and the Senate can proceed to a final vote on Saturday. Two other women later emerged with sexual misconduct allegations from the 1980s, all of which Kavanaugh has denied. Murkowski, for instance, called for healing after the final vote on Saturday and said she was praying for protesters. Ford and Kavanaugh testified at an extraordinary Senate Judiciary Committee hearing on September 27 where she described the alleged assault, and he angrily and tearfully denied it. Joe Manchin, Democrat of West Virginia, voted yes, and Senator Jeff Flake (R-AZ), who is not seeking re-election, also voted yes on cloture.
The roll call began around 3:45 p.m. ET and ended shortly after 4 p.m.
"I have been alarmed and disturbed that unless the Kavanaugh nomination is rejected, that the Senate [is] condoning sexual assault".
On the contrary, McConnell said he was "excited" by how the Kavanaugh confirmation battle has "fired up" the Republican base.
Mr Kavanaugh's appointment is for life and he will strengthen conservative control of the nine-judge court, which has the final say on USA law.
Democratic Senator Edward Markey countered, saying Kavanaugh has been a "rubber stamp for a far right-wing agenda". We heard belligerence. We heard evasiveness. Steve Daines of Montana, who supports Kavanaugh, but will be in Montana to walk his daughter down the aisle at her wedding. The two-vote margin made it the closest confirmation vote since 1881.
He said events had "strained out basic principles of fairness and justice" and that the vote showed the Senate was "an institution where evidence and facts matter".