| Saturday 24th January 1920 | |||
| Second Round | |||
| St Bernard's | 2-0 | Bathgate | |
| First Round | |||
| Albion Rovers | 0-0 | Dykehead (Shotts) | |
| Armadale | 1-0 | Clyde | |
| Cowdenbeath | 0-1 | Aberdeen | |
| Dumbarton Harp | 0-0 | Alloa Athletic | |
| Dundee | 1-1 | Airdrieonians | |
| East Fife | 4-0 | Arthurlie | |
| East Stirlingshire | 6-0 | Thornhill | |
| Galston | 0-0 | Hibernian | |
| Heart of Midlothian | 5-1 | Nithsdale Wanderers | |
| Lochgelly United | 2-0 | Inverness Clachn'din | |
| Morton | 4-0 | Forfar Athletic | |
| Partick Thistle | 3-1 | Motherwell | |
| Queen's Park | 2-0 | Hamilton Academical | |
| Rangers | 0-0 | Dumbarton | |
| Royal Albert | 7-0 | Forres Mechanics | |
| Stevenston United | 1-2 | St Mirren | |
| Third Lanark | 4-1 | Inverness Caledonian | |
» Scottish FA Cup 1919-1920 : Results
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