1971-72 Scottish Cup
| Final | ||||||
| Celtic | 6 | 1 | Hibernian | Sat 06 May 1972 | Details | |
| Semi Final | ||||||
| Celtic | 3 | 1 | Kilmarnock | Wed 12 Apr 1972 | Details | |
| Hibernian | 1 | 1 | Rangers | Sat 15 Apr 1972 | Details | |
| Hibernian | 2 | 0 | Rangers | Mon 24 Apr 1972 | 1st Replay | Details |
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| 5th Round | ||||||
| Celtic | 1 | 1 | Hearts | Sat 18 Mar 1972 | Details | |
| Raith Rovers | 1 | 3 | Kilmarnock | Sat 18 Mar 1972 | Details | |
| Hibernian | 2 | 0 | Aberdeen | Sat 18 Mar 1972 | Details | |
| Motherwell | 2 | 2 | Rangers | Sat 18 Mar 1972 | Details | |
| Hearts | 0 | 1 | Celtic | Mon 27 Mar 1972 | 1st Replay | Details |
| Rangers | 4 | 2 | Motherwell | Mon 27 Mar 1972 | 1st Replay | Details |
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| 4th Round | ||||||
| Hearts | 4 | 0 | Clydebank | Sat 26 Feb 1972 | Details | |
| Ayr United | 0 | 0 | Motherwell | Sat 26 Feb 1972 | Details | |
| Elgin City | 1 | 4 | Kilmarnock | Sat 26 Feb 1972 | Details | |
| Celtic | 4 | 0 | Dundee | Sat 26 Feb 1972 | Details | |
| Hibernian | 2 | 0 | Airdrieonians | Sat 26 Feb 1972 | Details | |
| Aberdeen | 1 | 0 | Greenock Morton | Sat 26 Feb 1972 | Details | |
| Dumbarton | 0 | 3 | Raith Rovers | Sat 26 Feb 1972 | Details | |
| St Mirren | 1 | 4 | Rangers | Sat 26 Feb 1972 | Details | |
| Motherwell | 2 | 1 | Ayr United | Wed 01 Mar 1972 | 1st Replay | Details |
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| 3rd Round | ||||||
| Clyde | 0 | 1 | Ayr United | Sat 05 Feb 1972 | Details | |
| Greenock Morton | 1 | 0 | Cowdenbeath | Sat 05 Feb 1972 | Details | |
| Falkirk | 2 | 2 | Rangers | Sat 05 Feb 1972 | Details | |
| Partick Thistle | 0 | 2 | Hibernian | Sat 05 Feb 1972 | Details | |
| Motherwell | 2 | 0 | Montrose | Sat 05 Feb 1972 | Details | |
| Raith Rovers | 2 | 0 | Dunfermline Athletic | Sat 05 Feb 1972 | Details | |
| Dumbarton | 3 | 1 | Hamilton | Sat 05 Feb 1972 | Details | |
| Celtic | 5 | 0 | Albion Rovers | Sat 05 Feb 1972 | Details | |
| Kilmarnock | 5 | 1 | Alloa Athletic | Sat 05 Feb 1972 | Details | |
| Clydebank | 1 | 1 | East Fife | Sat 05 Feb 1972 | Details | |
| Elgin City | 3 | 1 | Caledonian | Sat 05 Feb 1972 | Details | |
| Hearts | 2 | 0 | St Johnstone | Sat 05 Feb 1972 | Details | |
| Forfar Athletic | 0 | 1 | St Mirren | Sat 05 Feb 1972 | Details | |
| Arbroath | 1 | 3 | Airdrieonians | Sat 05 Feb 1972 | Details | |
| Dundee United | 0 | 4 | Aberdeen | Sat 05 Feb 1972 | Details | |
| Dundee | 3 | 0 | Queen Of The South | Tue 08 Feb 1972 | Details | |
| East Fife | 0 | 1 | Clydebank | Wed 09 Feb 1972 | 1st Replay | Details |
| Rangers | 2 | 0 | Falkirk | Wed 09 Feb 1972 | 1st Replay | Details |
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| 2nd Round | ||||||
| Inverness Thistle | 3 | 4 | Caledonian | Sat 15 Jan 1972 | Details | |
| Huntly | 0 | 2 | Hamilton | Sat 15 Jan 1972 | Details | |
| Albion Rovers | 3 | 2 | Queen's Park | Sat 15 Jan 1972 | Details | |
| Burntisland Shipyard | 1 | 4 | Elgin City | Sat 15 Jan 1972 | Details | |
| Raith Rovers | 2 | 1 | Brechin City | Sat 15 Jan 1972 | Details | |
| Stirling Albion | 1 | 2 | Alloa Athletic | Sat 15 Jan 1972 | Details | |
| Queen Of The South | 0 | 0 | Berwick Rangers | Sat 15 Jan 1972 | Details | |
| Forfar Athletic | 2 | 2 | Stranraer | Sat 15 Jan 1972 | Details | |
| Berwick Rangers | 0 | 1 | Queen Of The South | Wed 19 Jan 1972 | 1st Replay | Details |
| Stranraer | 1 | 2 | Forfar Athletic | Sat 22 Jan 1972 | 1st Replay | Details |
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| 1st Round | ||||||
| Elgin City | 2 | 0 | Stenhousemuir | Sat 18 Dec 1971 | Details | |
| St Cuthberts Wanderers | 0 | 3 | Brechin City | Sat 18 Dec 1971 | Details | |
| Burntisland Shipyard | 2 | 0 | Coldstream | Sat 18 Dec 1971 | Details | |
| Gala Fairydean | 1 | 5 | Queen Of The South | Sat 18 Dec 1971 | Details | |
| Queen's Park | 2 | 1 | East Stirlingshire | Sat 18 Dec 1971 | Details | |
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