| Matches: 1978 – 1979 | League Cup | 1978-79 Pictures |
The format continued as the previous season without a Group Stage or seeding.
First Round
| Team | Agg. | Team | 1st Leg | 2nd Leg |
| Alloa |
5-1 | Stirling Albion | 4-1 | 1-0 |
| Berwick Rangers | 2-0 | St Johnstone |
2-0 | 0-0 |
| Celtic | 6-1 | Dundee | 3-1 | 3-0 |
| Dumbarton | 0-2 | St Mirren |
0-0 | 0-2 |
| Montrose | 5-0 | Queen of the South | 4-0 | 1-0 |
| Rangers | 4-0 | Albion Rovers | 3-0 | 1-0 |
Second Round
| Team | Agg. | Team | 1st Leg | 2nd Leg | Pen. |
| Airdrie | 8-0 | Dunfermiline | 3-0 | 5-0 | |
| Ayr Utd | 4-1 | Stranraer |
1-0 | 3-1 | |
| Berwick Rangers |
2-8 | St Mirren |
1-3 | 1-5 | |
| Brechin City | 1-6 | Hibernian |
0-3 | 1-3 | |
| Clyde | 3-4 | Motherwell | 3-1 | 0-3 | |
| Cowdenbeath | 3-4 | Hamilton Accies. | 3-2 | 0-2 | |
| Dundee Utd |
2-4 | Celtic | 2-3 | 0-1 | |
| East Fife | 0-2 | Arbroath | 0-1 | 0-1 | |
| Hearts | 1-7 | Morton | 1-3 | 1-4 | |
| Kilmarnock | 3-1 | Alloa | 2-0 | 1-1 | |
| Meadowbank Thistle | 0-9 | Aberdeen | 0-5 | 0-4 | |
| Montrose | 3-1 | East Stirlingshire | 1-1 | 2-0 | |
| Partick Thistle | 3-3 | Falkirk |
1-1 | 2-2 | pens. |
| Raith Rovers | 4-2 | Queen's Park | 4-2 | 2-4 | pens. |
| Rangers | 7-1 | Forfar | 3-0 | 4-1 | |
| Stenhousmuir | 2-4 | Clydebank | 1-0 | 1-4 |
Third Round
| Team | Agg. | Team | 1st Leg | 2nd Leg |
| Arbroath |
3-2 | Airdrie | 1-1 | 2-1 |
| Celtic | 4-2 | Motherwell |
0-1 | 4-1 |
| Falkirk | 5-3 | Ayr Utd | 4-2 | 1-1 |
| Hamilton Accies | 1-8 | Aberdeen | 0-1 | 1-7 |
| Hibernian | 2-1 | Clydebank | 1-0 | 1-1 |
| Kilmarnock | 4-5 | Morton | 2-0 | 2-5 |
| Raith Rovers | 4-5 | Montrose | 3-0 | 1-5 |
| Rangers | 3-2 | St Mirren | 3-2 | 0-0 |
Quarter Finals
| Team | Agg. | Team | 1st Leg | 2nd Leg | Pen. |
| Ayr Utd |
4-6 | Aberdeen | 3-3 | 1-3 | |
| Montrose | 2-4 | Celtic |
1-1 | 1-3 | |
| Morton | 1-2 | Hibernian | 1-0 | 0-2 | |
| Rangers | 3-1 | Arbroath | 1-0 | 2-1 |
Semi Finals
| Team | Agg. | Team |
| Aberdeen | 1-0 | Hibernian |
| Rangers | 3-2 | Celtic |
Final
Hampden Park, 31st March 1979.
Rangers 2 – 1 Aberdeen
Winners Scottish League Cup 1978-79: Rangers