He won his first major trophy in 1970, Rangers beating Celtic 1–0 in the Scottish League Cup Final. The following season he was an ever-present in the Rangers side which reached the 1972 European Cup Winners' Cup Final, playing in all eight matches en route to the final and scoring the first goal of a 2–0 win over Bayern Munich in the semi-final. Jardine went on to help Rangers win the final, defeating Moscow Dynamo 3–2 at the Nou Camp in Barcelona. Between 27 April 1972 and 30 August 1975, he did not miss a single game for Rangers and played in 171 consecutive matches for them. Further success continued during this time; in 1974–75 he helped Rangers win their first Scottish league title in 11 years and his performances were acknowledged by the Scottish Football Writers' Association, who voted him their Player of the Year. Jardine was a key part of the Rangers sides that won the domestic treble in 1975-76 and 1977-78.