Matches: 1967 – 1968 | Match Pictures: 1967-68 | League Cup |
Celtic were in Group 2
| Aberdeen |
1 – 1 | Rangers |
|
| Celtic |
1 – 0 |
Dundee Utd |
Link |
| Dundee Utd |
5 – 0 | Aberdeen | |
| Rangers |
1 – 1 |
Celtic | Link |
| Celtic |
3 – 1 |
Aberdeen |
Link |
| Rangers |
1 – 0 | Dundee Utd |
|
| Dundee Utd |
0 – 1 | Celtic | Link |
| Rangers |
3 – 0 |
Aberdeen | |
| Aberdeen |
2 – 2 |
Dundee Utd |
|
| Celtic | 3 – 1 | Rangers |
Link |
| Aberdeen | 1 – 5 | Celtic | Link |
| Dundee Utd |
0 – 3 |
Rangers |
Celtic were joined by the following teams in the Quarter Finals
| Group | Team | W | D | L | F | A | GAv | Pts |
| 1 | Kilmarnock | 3 | 2 | 1 | 11 | 5 | 2.20 | 8 |
| 2 | Celtic | 5 | 1 | 0 | 14 | 4 | 3.50 | 11 |
| 3 | Dundee | 5 | 1 | 0 | 14 | 16 | 2.33 | 11 |
| 4 | St Johnstone | 4 | 1 | 1 | 10 | 5 | 2.00 | 9 |
| 5 | Ayr Utd | 5 | 0 | 1 | 12 | 5 | 2.40 | 10 |
| 6 | Queen's Park | 4 | 1 | 1 | 7 | 3 | 2.33 | 9 |
| 7 | Morton | 6 | 0 | 0 | 22 | 6 | 3.66 | 12 |
| 8 | East Fife | 5 | 0 | 1 | 16 | 7 | 2.29 | 10 |
| 9 | Clydebank | 4 | 0 | 0 | 7 | 2 | 3.50 | 8 |
Clydebank qualified from the expanded Group 9 of 5 teams
Supplementary Round:
Ayr Utd 1 – 0 Clydebank
Clydebank 2 – 4 Ayr Utd
Aggregate:
Ayr Utd 5 – 2 Clydebank
Quarter Finals
| Team | Agg. | Team | 1st Leg | 2nd Leg | Playoff |
| Celtic | 8-2 | Ayr Utd |
6-2 | 2-0 | |
| East Fife |
0-5 | Dundee |
0-1 | 0-4 | |
| Morton | 5-3 | Kilmarnock |
3-2 | 2-1 | |
| Queen's Park |
1-8 | St Johnstone |
0-5 | 1-3 |
Semi Finals:
| Team | Team | |
| Celtic | 7-1 | Morton |
| Dundee |
3-1 | St Johnstone |
Final:
Played at Hampden Park, 28th October, 1967.
Winners League Cup 1967-68 Celtic