| Tournament details | |
|---|---|
| Country | Scotland | 
| Final positions | |
| Champions | Aberdeen | 
| Runner-up | Rangers | 
The 1981–82 Scottish Cup was the 97th staging of Scotland's most prestigious football knockout competition. The Cup was won by Aberdeen who defeated Rangers in the final.
First round
| Home team | Score | Away team | 
|---|---|---|
| Civil Service Strollers | 3 – 3 | Cowdenbeath | 
| Stenhousemuir | 2 – 5 | Berwick Rangers | 
| Stirling Albion | 1 – 2 | Clyde | 
| Fraserburgh | 1 – 1 | Clachnacuddin | 
| Stranraer | 1 – 1 | East Fife | 
| Arbroath | 0 – 2 | Meadowbank Thistle | 
Replays
| Home team | Score | Away team | 
|---|---|---|
| Clachnacuddin | 3 – 2 | Fraserburgh | 
| Cowdenbeath | 6 – 1 | Civil Service Strollers | 
| East Fife | 4 – 1 | Stranraer | 
Second round
| Home team | Score | Away team | 
|---|---|---|
| Albion Rovers | 2 – 1 | Clachnacuddin | 
| Cowdenbeath | 1 – 1 | Gala Fairydean | 
| Inverness Caledonian | 1 – 3 | Brechin City | 
| Alloa Athletic | 4 – 1 | Hawick Royal Albert | 
| Clyde | 0 – 0 | Berwick Rangers | 
| Coldstream | 0 – 2 | Meadowbank Thistle | 
| Montrose | 0 – 0 | Elgin City | 
| East Fife | 2 – 3 | Forfar Athletic | 
Replays
| Home team | Score | Away team | 
|---|---|---|
| Gala Fairydean | 3 – 2 | Cowdenbeath | 
| Berwick Rangers | 1 – 3 | Clyde | 
| Elgin City | 0 – 0 | Montrose | 
Second Replay
| Home team | Score | Away team | 
|---|---|---|
| Montrose | 2 – 1 | Elgin City | 
Third round
| Home team | Score | Away team | 
|---|---|---|
| Gala Fairydean | 1 – 2 | St Johnstone | 
| Kilmarnock | 1 – 0 | Montrose | 
| Rangers | 6 – 2 | Albion Rovers | 
| Alloa Athletic | 2 – 1 | Ayr United | 
| Brechin City | 2 – 4 | Dundee United | 
| Clyde | 2 – 2 | Meadowbank Thistle | 
| East Stirlingshire | 1 – 4 | Hearts | 
| Partick Thistle | 1 – 2 | Dumbarton | 
| Airdrieonians | 1 – 2 | Queen's Park | 
| Celtic | 4 – 0 | Queen of the South | 
| Clydebank | 2 – 1 | Dunfermline Athletic | 
| Dundee | 1 – 0 | Raith Rovers | 
| Hamilton Academical | 0 – 0 | Forfar Athletic | 
| Hibernian | 2 – 0 | Falkirk | 
| Motherwell | 0 – 1 | Aberdeen | 
| St Mirren | 2 – 1 | Greenock Morton | 
Replays
| Home team | Score | Away team | 
|---|---|---|
| Meadowbank Thistle | 4 – 2 | Clyde | 
| Forfar Athletic | 3 – 2 | Hamilton Academical | 
Fourth round
| Home team | Score | Away team | 
|---|---|---|
| Dundee | 3 – 0 | Meadowbank Thistle | 
| Aberdeen | 1 – 0 | Celtic | 
| Clydebank | 0 – 2 | St Mirren | 
| Dundee United | 1 – 1 | Hibernian | 
| Hearts | 0 – 1 | Forfar Athletic | 
| Kilmarnock | 3 – 1 | St Johnstone | 
| Queen's Park | 2 – 0 | Alloa Athletic | 
| Rangers | 4 – 0 | Dumbarton | 
Replay
| Home team | Score | Away team | 
|---|---|---|
| Hibernian | 1 – 1 | Dundee United | 
Second Replay
| Home team | Score | Away team | 
|---|---|---|
| Dundee United | 3 – 0 | Hibernian | 
Quarter-finals
| Home team | Score | Away team | 
|---|---|---|
| Aberdeen | 4 – 2 | Kilmarnock | 
| Queen's Park | 1 – 2 | Forfar Athletic | 
| Rangers | 2 – 0 | Dundee | 
| St Mirren | 1 – 0 | Dundee United | 
Semi-finals
| Aberdeen | 1–1 | St Mirren | 
|---|---|---|
| Gordon Strachan  | 
Frank McDougall  | 
| Rangers | 0–0 | Forfar Athletic | 
|---|---|---|
Attendance: 15,878
Replays
| Aberdeen | 3–2 | St Mirren | 
|---|---|---|
| Mark McGhee  Neil Simpson Peter Weir  | 
Frank McAvennie  Doug Somner  | 
| Rangers | 3–1 | Forfar Athletic | 
|---|---|---|
Attendance: 11,864
Final
| Aberdeen | 4–1 (a.e.t.) | Rangers | 
|---|---|---|
| Alex McLeish  Mark McGhee Gordon Strachan Neale Cooper  | 
John MacDonald  | 
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