Matches: 1970 – 1971 | Match Pictures: 1970-71 | League Cup |
Celtic were in Group 1
(This was the first season that Goal Difference was used rather than goal average as previously)
| Clyde |
1 – 1 | Dundee Utd |
|
| Hearts |
1 – 2 |
Celtic |
Link |
| Celtic |
5 – 3 | Clyde |
Link |
| Dundee Utd |
2 – 1 |
Hearts | |
| Celtic |
2 – 2 |
Dundee Utd |
Link |
| Hearts |
1 – 2 | Clyde |
|
| Clyde |
0 – 2 | Celtic | Link |
| Hearts |
0 – 0 |
Dundee Utd | |
| Celtic |
4 – 2 |
Hearts |
Link |
| Dundee Utd | 1 – 1 | Clyde |
|
| Clyde |
1 – 5 | Hearts | |
| Dundee Utd |
2 – 2 |
Celtic | Link |
Final Group table
| Team | P | W | D | L | F | A | GD | Pts |
| Celtic | 6 | 4 | 2 | 0 | 17 | 10 | +7 | 10 |
| Dundee Utd | 6 | 1 | 5 | 0 | 8 | 7 | +1 | 7 |
| Clyde | 6 | 1 | 2 | 3 | 8 | 15 | -7 | 4 |
| Hearts | 6 | 1 | 1 | 4 | 10 | 11 | -1 | 3 |
Celtic were joined by the following teams in the Quarter Finals
| Group | Team | W | D | L | F | A | GD | Pts |
| 1 | Celtic | 5 | 0 | 1 | 21 | 5 | +7 | 10 |
| 2 | Rangers | 5 | 1 | 0 | 16 | 1 | +15 | 11 |
| 3 | Dundee | 5 | 0 | 1 | 12 | 4 | +8 | 10 |
| 4 | Hibernian | 4 | 2 | 0 | 16 | 7 | +9 | 10 |
| 5 | Partick Thistle | 2 | 3 | 1 | 10 | 8 | +2 | 7 |
| 6 | Dumbarton | 5 | 1 | 0 | 18 | 8 | +10 | 11 |
| 7 | Cowdenbeath | 4 | 1 | 1 | 15 | 6 | +9 | 9 |
| 8 | Falkirk | 5 | 1 | 0 | 18 | 3 | +15 | 11 |
| 9 | Stranraer | 3 | 0 | 1 | 9 | 4 | +5 | 7 |
Stranraer qualified from the expanded Group 9 of 5 teams
Supplementary Round:
Partick Thistle 2 – 1 Stranraer
Stranraer 2 – 2 Partick Thistle
Aggregate:
Partick Thistle 4 – 3 Stranraer
Quarter Finals
| Team | Agg. | Team | 1st Leg | 2nd Leg | Playoff |
| Dundee |
3-7 | Celtic |
2-2 | 1-5 | |
| Falkirk |
0-1 | Cowdenbeath |
0-1 | 0-0 | |
| Hibernian |
2-6 | Rangers |
1-3 | 1-3 | |
| Partick Thistle |
5-6 | Dumbarton |
3-3 | 2-3 |
Semi Finals:
| Team | Team | |
| Rangers |
2-0 | Cowdenbeath |
| Celtic Replay Celtic
|
0-0 4-3 |
Dumbarton Dumbarton |
Final:
Played at Hampden Park, 24th October, 1970.
Celtic 0 – 1 Rangers
Winners League Cup 1970-71 Rangers