The competition was won by Manchester United, who beat Benfica 4–1 in the final at Wembley Stadium, London.
The European Cup title marked the tenth year since the Munich air disaster, in which eight United players were killed and their manager, Matt Busby, was left close to death, the day after earning a place in the semi-finals of the 1957–58 competition.
It was also the first time an English side had won the trophy.
Extra time goals were not included in the rule.
Celtic were the defending champions, but were eliminated by Dynamo Kyiv in the first round.
Juventus 3–3 Eintracht Braunschweig on aggregate.
Manchester United won 4–3 on aggregate.