It was first held for the 1955-56 season, and up until 1992 the tournament was called the European Cup or European Champions’ Cup (officially European Champion Clubs’ Cup).
Са свайго першага сезону 1955/1956 і да сезону 1991/1992 спаборніцтва называлася Кубкам еўрапейскіх чэмпіёнаў (англ.: European Champion Clubs' Cup).