| 1. Round | 18/09/1968 | AS Saint-Étienne | - | Celtic FC | 2:0 | ||||
| 1. Round | 02/10/1968 | Celtic FC | - | AS Saint-Étienne | 4:0 | ||||
| Round of 16 | 13/11/1968 | Celtic FC | - | Crvena Zvezda | 5:1 | ||||
| Round of 16 | 27/11/1968 | Crvena Zvezda | - | Celtic FC | 1:1 | ||||
| Quarter-finals | 19/02/1969 | AC Milan | - | Celtic FC | 0:0 | ||||
| Quarter-finals | 12/03/1969 | Celtic FC | - | AC Milan | 0:1 |
Scotland
