For the 1983–84 UEFA Cup, the associations are allocated places according to their 1982 UEFA country coefficients, which takes into account their performance in European competitions from 1977–78 to 1981–82.
As Albania renounced.
Teams
The labels in the parentheses show how each team qualified for competition:
Inter Bratislava won 16–0 on aggregate. ---- Radnički Niš won 5–1 on aggregate. ---- Royal Antwerp won 8–3 on aggregate. ---- Budapest Honvéd won 3–2 on aggregate. ---- Lokomotive Leipzig won 7–2 on aggregate. ---- Sparta Rotterdam won 5–1 on aggregate. ---- Spartak Moscow won 7–0 on aggregate. ---- Verona won 4–2 on aggregate. ---- 1–1 on aggregate. Hajduk Split won 3–1 on penalties. ---- Nottingham Forest won 3–0 on aggregate. ---- BaníkOstrava won 6–1 on aggregate. ---- PSV won 6–2 on aggregate. ---- Austria Wien won 15–0 on aggregate. ---- PAOK won 5–2 on aggregate. ---- Werder Bremen won 3–2 on aggregate. ---- 2–2 on aggregate. Widzew Łódź won on away goals. ---- Celtic won 5–1 on aggregate. ---- Sturm Graz won 2–1 on aggregate. ---- Levski Sofia won 2–1 on aggregate. ---- Bayern Munich won 11–0 on aggregate. ---- FC Groningen won 4–2 on aggregate. ---- Anderlecht won 4–1 on aggregate. ---- Stade Lavallois won 1–0 on aggregate. ---- Carl Zeiss Jena won 3–0 on aggregate. ---- Lens won 3–2 on aggregate. ---- Feyenoord won 3–0 on aggregate. ---- Watford won 4–3 on aggregate. ---- Tottenham Hotspur won 14–0 on aggregate. ---- Internazionale won 2–1 on aggregate. ---- Aston Villa won 5–1 on aggregate. ---- Sparta Prague won 4–3 on aggregate. ---- Sporting CP won 4–3 on aggregate.
Sparta Prague won 3–1 on aggregate. ---- Hajduk Split won 5–3 on aggregate. ---- Anderlecht won 4–2 on aggregate. ---- Radnički Niš won 6–3 on aggregate. ---- Sparta Rotterdam won 4–3 on aggregate. ---- Watford won 4–2 on aggregate. ---- 2–2 on aggregate. Sturm Graz won on away goals. ---- Austria Wien won 5–3 on aggregate. ---- Lokomotive Leipzig won 2–1 on aggregate. ---- 0–0 on aggregate. Bayern Munich won 9–8 on penalties. ---- Lens won 5–4 on aggregate. ---- Tottenham Hotspur won 6–2 on aggregate. ---- Internazionale won 5–3 on aggregate. ---- Spartak Moscow won 4–3 on aggregate. ---- Nottingham Forest won 3–1 on aggregate. ---- Celtic won 5–2 on aggregate.
Third round
First leg
---- ---- ---- ---- ---- ---- ----
Second leg
Sturm Graz won 2–1 on aggregate. ---- Hajduk Split won 4–0 on aggregate. ---- Sparta Prague won 7–2 on aggregate. ---- Anderlecht won 2–1 on aggregate. ---- Austria Wien won 3–2 on aggregate. ---- Nottingham Forest won 2–1 on aggregate. ---- Tottenham Hotspur won 2–1 on aggregate. ---- Spartak Moscow won 3–1 on aggregate.
Quarter-finals
First leg
---- ---- ----
Second leg
Hajduk Split won 2–1 on aggregate. ---- Nottingham Forest won 2–1 on aggregate. ---- Tottenham Hotspur won 4–2 on aggregate. ---- Anderlecht won 4–3 on aggregate.
Semi-finals
First leg
----
Second leg
Anderlecht won 3-2 on aggregate. ---- 2–2 on aggregate. Tottenham Hotspur won on away goals.
Final
First leg
Second leg
2–2 on aggregate. Tottenham Hotspur won 4–3 on penalties
Real Madrid 
Anderlecht 
Bordeaux 
Vorwärts Frankfurt 
Dynamo Kyiv 
St. Gallen 
IF Elfsborg 
Universitatea Craiova 
Ferencváros 
AGF 
Larissa 
Drogheda United 
Bryne 
Coleraine 
Trabzonspor 
Anorthosis 
Aris Bonnevoie 
ÍBV 
Rabat Ajax 
HJK