| Matches: 1975 – 1976 | League Cup | 1975-76 Pictures |
The dreaded offside rule adjustment used the previous two seasons was dropped this season.
Celtic were in Group 3
| Celtic |
1 – 0 |
Aberdeen |
Link |
| Dumbarton |
2 – 1 |
Hearts |
|
| Aberdeen |
2 – 0 |
Dumbarton |
|
| Hearts |
2 – 0 |
Celtic |
Link |
| Aberdeen |
1 – 2 |
Hearts |
|
| Celtic |
3 – 1 |
Dumbarton |
Link |
| Celtic | 3 – 1 |
Hearts |
Link |
| Dumbarton |
0 – 1 |
Aberdeen |
|
| Dumbarton |
0 – 8 |
Celtic |
Link |
| Hearts |
1 – 0 | Aberdeen |
|
| Aberdeen |
0 – 2 |
Celtic | Link |
| Hearts |
6 – 2 |
Dumbarton |
Final Group table
| Team | P | W | D | L | F | A | GD | Pts |
| Celtic | 6 | 5 | 0 | 1 | 17 | 4 | +13 | 10 |
| Hearts | 6 | 4 | 0 | 2 | 13 | 8 | +5 | 8 |
| Aberdeen | 6 | 2 | 0 | 4 | 6 | 6 | -2 | 4 |
| Dumbarton | 6 | 1 | 0 | 5 | 5 | 21 | -16 | 2 |
Group Qualifiers
| Group | Team | W | D | L | F | A | GD | Pts |
| 1 | Rangers |
4 | 2 | 0 | 18 | 5 | +13 | 10 |
| 2 | Hibernian | 5 | 0 | 1 | 14 | 4 | +10 | 10 |
| 3 | Celtic | 5 | 0 | 1 | 17 | 4 | +13 | 10 |
| 4 | Partick Thistle |
6 | 0 | 0 | 17 | 6 | +11 | 12 |
| 5 | Queen of the South |
3 | 1 | 2 | 7 | 6 | +1 | 7 |
| 6 | Montrose | 3 | 2 | 1 | 11 | 6 | +5 | 8 |
| 7 | Clydebank | 4 | 1 | 1 | 7 | 7 | 0 | 9 |
| 8 | Stenhousemuir | 3 | 2 | 1 | 7 | 7 | 0 | 8 |
| 9 | Cowdenbeath | 4 | 0 | 1 | 15 | 7 | +8 | 8 |
Cowdenbeath were in a Group of 6 teams who played each other once
These two teams played off against two other Group Runners Up.
Supplementary Round:
| Team | Aggregate | Team | Home | Away |
| Cowdenbeath |
0-4 | Clydebank | 0-2 | 0-2 |
Quarter Finals
| Team | Agg. | Team | 1st Leg | 2nd Leg |
| Hibernian |
4-1 | Montrose | 1-0 | 3-1 |
| Partick Thistle | 4-1 | Clydebank | 4-0 | 0-1 |
| Rangers | 3-2 | Queen of the South |
1-0 | 2-2 |
| Stenhousemuir | 0-3 | Celtic |
0-2 | 0-1 |
Semi Finals:
| Team | Team | |
| Celtic |
1-0 | Partick Thistle |
| Rangers | 5-1 | Montrose |
Final:
Played at Hampden Park, 25th October, 1975.
Rangers 1 – 0 Celtic
Winners League Cup 1975-76 Rangers