Semi-finals
Dinamo Zagreb 2 -
4 Fiorentina
Wolverhampton 1 -
3 Rangers
Quarter-finals
Dinamo Zagreb 2 -
0 Zbrojovka Brno
Wolverhampton 5 -
2 Austria Vienna
Rangers 11 -
0 Borussia Mönchengladbach
Fiorentina 9 -
2 Luzern
Qualifying Round
Zbrojovka Brno 3 -
2 1. FC Frankfurt
Ferencváros 4 -
5 Rangers
UEFA Cup Winners' Cup
| Winner | |
| Date | 01.08.1960 - 27.05.1961 |
| Played | 18 of 18 |
| Attendance | 29919 |
 |
 |  |
|
|---|---|---|---|
|
6 | 1 | 6 |
 Jimmy Millar |
5 | 5 | |
|
Ralph Brand |
5 | 8 | |
|
Antoninho |
4 | 3 | |
|
|
4 | 5 | |
|
|
4 | 8 | |
|
3 | 3 | |
Zoltán Friedmanszky |
2 | 2 | |
|
Pál Orosz |
2 | 2 | |
|
John Kirkham |
2 | 2 |
