Once the Committee reports out the nomination, the whole Senate considers it. A simple majority vote is required to confirm or to reject a nominee. Prior to 2017, a successful filibuster threat could add the requirement of a supermajority of 60 needed in favor of cloture, which would allow debate to end and force a final vote on confirmation. Rejections are relatively uncommon; the Senate has explicitly rejected twelve Supreme Court nominees in its history. The most recent rejection of a nominee by vote of the full Senate came in 1987, when the Senate refused to confirm Robert Bork.
who has the power to reject the president's nominations for the supreme court
the Senate the Senate