| Matches: 1955 – 1956 | Match Pictures: 1955-56 | Scottish Cup |
Fifth Round
| Airdrieonians | 7 – 1 | Hamilton Academical |
| Ayr United | 5 – 2 | Berwick Rangers |
| Brechin City | 1 – 1 | Arbroath |
| Clyde | 5 – 0 | Dunfermline Athletic |
| Dundee United | 2 – 2 | Dundee |
| East Fife | 1 – 3 | Stenhousemuir |
| Falkirk | 0 – 3 | Kilmarnock |
| Hearts | 3 – 0 | Forfar Athletic |
| Hibernian | 1 – 1 | Raith Rovers |
| Greenock Morton | 0 – 2 | Celtic |
| Motherwell | 0 – 2 | Queen’s Park |
| Partick Thistle | 2 – 0 | Alloa Athletic |
| Queen of the South | 3 – 1 | Cowdenbeath |
| Rangers | 2 – 1 | Aberdeen |
| St. Mirren | 6 – 0 | Third Lanark |
| Stirling Albion | 2 – 1 | St. Johnstone |
Replays Fifth Round
| Raith Rovers | 3 – 1 | Hibernian |
| Arbroath | 2 – 3 | Brechin City |
| Dundee | 3 – 0 | Dundee Utd |
Sixth Round
| Airdrieonians | 4 – 4 | St. Mirren |
| Ayr United | 0 – 3 | Celtic |
| Dundee | 0 – 1 | Rangers |
| Hearts | 5 – 0 | Stirling Albion |
| Kilmarnock | 2 – 2 | Queen of the South |
| Partick Thistle | 3 – 1 | Brechin City |
| Raith Rovers | 2 – 2 | Queen’s Park |
| Stenhousemuir | 0 – 1 | Clyde |
Replays Sixth Round
| Queen of the South | 2 – 0 | Kilmarnock |
| Queen’s Park | 1 – 2 | Raith Rovers |
| St. Mirren | 1 – 3 | Airdrieonians |
Quarter Finals
| Celtic | 2 – 1 | Airdrieonians |
| Hearts | 4 – 0 | Rangers |
| Queen of the South | 2 – 4 | Clyde |
| Raith Rovers | 2 – 1 | Partick Thistle |
Semi Finals
| Celtic | 2 – 1 | Clyde |
| Hearts | 0 – 0 | Raith Rovers |
Semi Final Replay
| Hearts | 3 – 0 | Raith Rovers |
FINAL
| Hearts | 3 – 1 | Celtic |
WINNERS SCOTTISH CUP 1955-56 – HEARTS