During the performance, harsh slogans against Israel's military (IDF) were broadcast live.
"BBC respects freedom of speech but is strongly against all calls for violence. Bob Vylan's anti-Semitic statements were completely unacceptable and do not belong in our broadcasts," says a representative of the public service company in a statement on Monday according to AP.
Video clips from the concert are currently being investigated by British police, and the broadcast has received harsh criticism, not least from a political standpoint.
Britain's Culture Minister Lisa Sandy has spoken with the BBC's CEO about the performance, and Health Minister Wes Streeting has told Sky News that both the BBC and the festival management must answer how the slogans could be broadcast to millions of people.
BBC broadcast many of Glastonbury's concerts live, but had said no to the performance of the Irish controversial rap group Kneecap.