1963-64 Scottish Cup
| Final | ||||||
| Rangers | 3 | 1 | Dundee | Sat 25 Apr 1964 | Details | |
| Semi Final | ||||||
| Rangers | 1 | 0 | Dunfermline Athletic | Sat 28 Mar 1964 | Details | |
| Dundee | 4 | 0 | Kilmarnock | Sat 28 Mar 1964 | Details | |
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| 4th Round | ||||||
| Falkirk | 1 | 2 | Kilmarnock | Sat 07 Mar 1964 | Details | |
| Dundee | 1 | 1 | Motherwell | Sat 07 Mar 1964 | Details | |
| Rangers | 2 | 0 | Celtic | Sat 07 Mar 1964 | Details | |
| Dunfermline Athletic | 7 | 0 | Ayr United | Sat 07 Mar 1964 | Details | |
| Motherwell | 2 | 4 | Dundee | Wed 11 Mar 1964 | 1st Replay | Details |
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| 3rd Round | ||||||
| East Stirlingshire | 1 | 6 | Dunfermline Athletic | Sat 15 Feb 1964 | Details | |
| St Mirren | 0 | 1 | Falkirk | Sat 15 Feb 1964 | Details | |
| Dundee | 6 | 1 | Forfar Athletic | Sat 15 Feb 1964 | Details | |
| Celtic | 4 | 1 | Airdrieonians | Sat 15 Feb 1964 | Details | |
| Rangers | 3 | 0 | Partick Thistle | Sat 15 Feb 1964 | Details | |
| Motherwell | 3 | 3 | Hearts | Sat 15 Feb 1964 | Details | |
| Kilmarnock | 2 | 0 | Albion Rovers | Sat 15 Feb 1964 | Details | |
| Aberdeen | 1 | 2 | Ayr United | Sat 15 Feb 1964 | Details | |
| Hearts | 1 | 2 | Motherwell | Wed 19 Feb 1964 | 1st Replay | Details |
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| 2nd Round | ||||||
| Rangers | 9 | 0 | Duns | Sat 25 Jan 1964 | Details | |
| East Fife | 0 | 1 | East Stirlingshire | Sat 25 Jan 1964 | Details | |
| Brechin City | 2 | 9 | Dundee United | Sat 25 Jan 1964 | Details | |
| Buckie Thistle | 1 | 3 | Ayr United | Sat 25 Jan 1964 | Details | |
| Alloa Athletic | 1 | 3 | Airdrieonians | Sat 25 Jan 1964 | Details | |
| Hamilton | 1 | 3 | Kilmarnock | Sat 25 Jan 1964 | Details | |
| Greenock Morton | 1 | 3 | Celtic | Sat 25 Jan 1964 | Details | |
| Clyde | 2 | 2 | Forfar Athletic | Sat 25 Jan 1964 | Details | |
| Falkirk | 2 | 2 | Berwick Rangers | Sat 25 Jan 1964 | Details | |
| Albion Rovers | 4 | 3 | Arbroath | Sat 25 Jan 1964 | Details | |
| Motherwell | 4 | 1 | Dumbarton | Sat 25 Jan 1964 | Details | |
| Dunfermline Athletic | 7 | 0 | Fraserburgh | Sat 25 Jan 1964 | Details | |
| Queen Of The South | 0 | 3 | Hearts | Sat 25 Jan 1964 | Details | |
| St Mirren | 2 | 0 | Stranraer | Sat 25 Jan 1964 | Details | |
| Partick Thistle | 2 | 0 | St Johnstone | Sat 25 Jan 1964 | Details | |
| Aberdeen | 1 | 1 | Queen's Park | Sat 25 Jan 1964 | Details | |
| Berwick Rangers | 1 | 5 | Falkirk | Wed 29 Jan 1964 | 1st Replay | Details |
| Forfar Athletic | 3 | 2 | Clyde | Wed 29 Jan 1964 | 1st Replay | Details |
| Queen's Park | 1 | 2 | Aberdeen | Wed 29 Jan 1964 | 1st Replay | Details |
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| 1st Round | ||||||
| Ayr United | 3 | 2 | Inverness Thistle | Sat 11 Jan 1964 | Details | |
| Celtic | 3 | 0 | Eyemouth United | Sat 11 Jan 1964 | Details | |
| Dumbarton | 4 | 0 | Raith Rovers | Sat 11 Jan 1964 | Details | |
| Greenock Morton | 0 | 0 | Cowdenbeath | Sat 11 Jan 1964 | Details | |
| Montrose | 1 | 1 | Alloa Athletic | Sat 11 Jan 1964 | Details | |
| Stenhousemuir | 1 | 5 | Rangers | Sat 11 Jan 1964 | Details | |
| Stirling Albion | 1 | 1 | Brechin City | Sat 11 Jan 1964 | Details | |
| Aberdeen | 5 | 2 | Hibernian | Sat 11 Jan 1964 | Details | |
| Forres Mechanics | 3 | 6 | Dundee | Sat 11 Jan 1964 | Details | |
| Berwick Rangers | 5 | 2 | St Cuthberts Wanderers | Sat 11 Jan 1964 | Details | |
| Kilmarnock | 2 | 1 | Gala Fairydean | Sat 11 Jan 1964 | Details | |
| Stranraer | 2 | 1 | Third Lanark | Sat 11 Jan 1964 | Details | |
| Dundee United | 0 | 0 | St Mirren | Sat 11 Jan 1964 | Details | |
| Alloa Athletic | 3 | 2 | Montrose | Tue 14 Jan 1964 | 1st Replay | Details |
| St Mirren | 2 | 1 | Dundee United | Wed 15 Jan 1964 | 1st Replay | Details |
| Cowdenbeath | 1 | 4 | Greenock Morton | Wed 15 Jan 1964 | 1st Replay | Details |
| Brechin City | 5 | 1 | Stirling Albion | Wed 15 Jan 1964 | 1st Replay | Details |
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