1971–72 Scottish Cup
Football tournament season
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First round
| Home team | Score | Away team |
|---|---|---|
| Burntisland Shipyard | 2 – 0 | Coldstream |
| Elgin City | 2 – 0 | Stenhousemuir |
| Gala Fairydean | 1 – 5 | Queen of the South |
| Queen's Park | 2 – 1 | East Stirlingshire |
| St Cuthbert Wanderers | 0 – 3 | Brechin City |
Second round
| Home team | Score | Away team |
|---|---|---|
| Albion Rovers | 3 – 2 | Queen's Park |
| Burntisland Shipyard | 1 – 4 | Elgin City |
| Forfar Athletic | 2 – 2 | Stranraer |
| Huntly | 0 – 2 | Hamilton Academical |
| Inverness Thistle | 3 – 4 | Inverness Caledonian |
| Queen of the South | 0 – 0 | Berwick Rangers |
| Raith Rovers | 2 – 1 | Brechin City |
| Stirling Albion | 1 – 2 | Alloa Athletic |
Replays
| Home team | Score | Away team |
|---|---|---|
| Stranraer | 1 – 2 | Forfar Athletic |
| Berwick Rangers | 0 – 1 | Queen of the South |
Third round
| Home team | Score | Away team |
|---|---|---|
| Dundee | 3 – 0 | Queen of the South |
| Arbroath | 1 – 3 | Airdrieonians |
| Celtic | 5 – 0 | Albion Rovers |
| Clyde | 0 – 1 | Ayr United |
| Clydebank | 1 – 1 | East Fife |
| Dumbarton | 3 – 1 | Hamilton Academical |
| Dundee United | 0 – 4 | Aberdeen |
| Elgin City | 3 – 1 | Inverness Caledonian |
| Falkirk | 2 – 2 | Rangers |
| Forfar Athletic | 0 – 1 | St Mirren |
| Hearts | 2 – 0 | St Johnstone |
| Kilmarnock | 5 – 1 | Alloa Athletic |
| Greenock Morton | 1 – 0 | Cowdenbeath |
| Motherwell | 2 – 0 | Montrose |
| Partick Thistle | 0 – 2 | Hibernian |
| Raith Rovers | 2 – 0 | Dunfermline Athletic |
Replays
Fourth round
| Home team | Score | Away team |
|---|---|---|
| Aberdeen | 1 – 0 | Greenock Morton |
| Ayr United | 0 – 0 | Motherwell |
| Celtic | 4 – 0 | Dundee |
| Dumbarton | 0 – 3 | Raith Rovers |
| Elgin City | 1 – 4 | Kilmarnock |
| Hearts | 4 – 0 | Clydebank |
| Hibernian | 2 – 0 | Airdrieonians |
| St Mirren | 1 – 4 | Rangers |
Replays
| Home team | Score | Away team |
|---|---|---|
| Motherwell | 2 – 1 | Ayr United |
Quarter-finals
| Home team | Score | Away team |
|---|---|---|
| Celtic | 1 – 1 | Hearts |
| Hibernian | 2 – 0 | Aberdeen |
| Motherwell | 2 – 2 | Rangers |
| Raith Rovers | 1 – 3 | Kilmarnock |
Replays
| Home team | Score | Away team |
|---|---|---|
| Hearts | 0 – 1 | Celtic |
| Rangers | 4 – 2 | Motherwell |
Semi-finals
Final
Teams
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