This competition was first held for the 1955-1956 season and until 1992 the tournament was referred to as European Champions’ Cup or European Cup.
Са свайго першага сезону 1955/1956 і да сезону 1991/1992 спаборніцтва называлася Кубкам еўрапейскіх чэмпіёнаў (англ.: European Champion Clubs' Cup).