He played a major role in winning of Liverpool's first ever FA Cup in 1965, he played in all of the ties scoring the second goal from the penalty spot in the 2–0 semi-final victory over Chelsea at Villa Park. Leeds United stood in Shankly's team's way and after a 0–0 draw in 90 minutes, goals from Hunt and St John beat the Elland Road club by 2 goals to 1 to take the trophy go to Anfield after a 72-year wait. The following campaign, again, saw silverware head to Merseyside as the Reds took the league title once more. Stevenson missed just the one fixture and scored five times as Liverpool topped the table by a comfortable 6 points over Leeds. He also tasted disappointment, however, as Borussia Dortmund beat Liverpool 2–1 in the European Cup Winners Cup final at Hampden Park, the 1st European final the Anfield club had reached.