| Matches : 1963 – 1964 | 1963-64 Pictures | Scottish Cup |
First Round
| Team | Agg. | Team | Replay |
| Aberdeen | 5-2 | Hibernian | |
| Ayr Utd | 3-2 | Inverness Thistle | |
| Berwick Rangers | 5-2 | St Cuthbert Wanderers | |
| Celtic | 3-0 | Eyemouth Utd |
|
| Dumbarton | 4-0 | Raith Rovers |
|
| Dundee Utd | 0-0 | St Mirren | 1-2 |
| Forres Mechanics | 3-6 | Dundee | |
| Kilmarnock | 2-1 | Gala Fairydean | |
| Montrose | 1-1 | Alloa | 2-3 |
| Morton | 0-0 | Cowdenbeath | 4-1 |
| Stenhousemuir | 1-5 | Rangers | |
| Stirling Albion | 1-1 | Brechin City | 1-5 |
| Stranraer | 2-1 | Third Lanark |
Second Round
| Team | Agg. | Team | Replay |
| Aberdeen | 1-1 | Queen's Park | 2-1 |
| Albion Rovers | 4-3 | Arbroath | |
| Alloa | 1-3 | Airdrie | |
| Brechin City |
2-9 | Dundee | |
| Buckie Thistle |
1-3 | Ayr Utd |
|
| Clyde | 2-2 | Forfar | 2-3 |
| Dunfermiline | 7-0 | Fraserburgh | |
| East Fife |
0-1 | East Stirlingshire | |
| Falkirk | 2-2 | Berwick Rangers |
5-1 |
| Hamilton Accies |
1-3 | Kilmarnock | |
| Morton | 1-3 | Celtic | |
| Motherwell | 4-1 | Dumbarton | |
| Partick Thistle |
2-0 | St Johnstone | |
| Queen of the South | 0-3 | Hearts | |
| Rangers | 9-0 | Duns | |
| St Mirren | 2-0 | Stranraer |
Third Round
| Team | Agg. | Team | Replay |
| Aberdeen | 1-2 | Ayr Utd | |
| Celtic |
4-1 | Airdrie |
|
| Dundee | 6-1 | Forfar | |
| East Stirlingshire | 1-6 | Dunfermiline | |
| Kilmarnock |
2-0 | Albion Rovers |
|
| Motherwell | 3-3 | Hearts | 2-1 |
| Rangers | 3-0 | Partick Thistle | |
| St Mirren | 0-1 | Falkirk |
Quarter Finals
| Team | Agg. | Team | Replay |
| Dundee | 1-1 | Motherwell | 4-2 |
| Dunfermiline | 7-0 | Ayr Utd | |
| Falkirk |
1-2 | Kilmarnock |
|
| Rangers |
2-0 | Celtic |
Semi Finals
| Team | Agg. | Team | Replay |
| Dundee | 4-0 | Kilmarnock | |
| Rangers | 1-0 | Dunfermiline |
Final
25-April-64 Rangers 3-1 Dundee
Winners Scottish Cup 1963-64 Rangers
| Date | Competition | Home Team | Score | Score | Away Team | Report | Pictures | Notes |
| JAN | |
|
|
|
|
|
|
|
| 11th | Scottish Cup | Celtic | 3 |
0 |
Eyemouth United | Report | Pictures | |
| 25th | Scottish Cup | Morton | 1 |
3 |
Celtic | Report | Pictures | |
| FEB | |
|
|
|
|
|
|
|
| 15th | Scottish Cup | Celtic | 4 |
1 |
Airdrieonians | Report | Pictures | |
| MAR | |
|
|
|
|
|
|
|
| 7th |
Scottish Cup | Rangers | 2 |
0 |
Celtic | Report | Pictures | |