The thirteenth and final Inter-Cities Fairs Cup was played over the 1970–71 season. The competition was won by Leeds United for the second time, over two legs, in the final against Juventus. It was the first time the competition final had been won on the away goals rule. The competition was replaced the next season by the UEFA Cup, which gave UEFAdirect control over all European football. The Inter-Cities Fairs trophy was finally won in a play-off between the most successful side in the tournament's history:FC Barcelona, who had won the competition three times and been runners-up once, against holders Leeds United.
Eskişehirspor won 3–2 on aggregate. ---- Barcelona won 4–2 on aggregate. ---- Arsenal won 4–2 on aggregate. ---- Fiorentina won 3–1 on aggregate. ---- Leeds won 6–0 on aggregate. ---- Newcastle United won 3–1 on aggregate. ---- Pécsi won 4–2 on aggregate. ---- Valencia won 6–1 on aggregate. ---- Sparta Prague won 3–1 on aggregate. ---- Dundee United won 3–2 on aggregate. ---- Juventus won 11–0 on aggregate. ---- Dinamo București won 5–1 on aggregate. ---- Coventry City won 6–1 on aggregate.
Second round
First leg
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Second leg
2–2 on aggregate; Leeds United won on away goals. ---- 1. FC Köln won 3–1 on aggregate. ---- Juventus won 4–2 on aggregate. ---- Liverpool won 4–1 on aggregate. ---- The referee called the end of the gamethree minutes before the regulation time and had to abandon the pitch escorted out by Beveren's players because of the pressure and the protests by the visiting team as a result of his decision. K.S.K. Beveren won 2–1 on aggregate. ---- Sparta Prague won 3–2 on aggregate.
Third round
First leg
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Second leg
Juventus won 3–0 on aggregate. ---- Leeds won 9–2 on aggregate.
Quarter-finals
First leg
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Second leg
Juventus won 4–2 on aggregate. ---- Leeds won 3–2 on aggregate. ---- 2–2 on aggregate; 1. FC Köln won on away goals. ---- Liverpool won 4–1 on aggregate.
Semi-finals
First leg
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Second leg
Juventus won 3–1 on aggregate. ---- Leeds won 1–0 on aggregate.
Final
First leg
Game abandoned in the 51st minute due to heavy rain and waterlogged pitch.