16th May 1998
| Final | Heart of Midlothian | 2-1 | Rangers |
5th April 1998
| Semi Final | Celtic | 1-2 | Rangers |
4th April 1998
| Semi Final | Falkirk | 1-3 | Heart of Midlothian |
18th March 1998
| 5th Round Replay | Dundee | 1-2 | Rangers |
9th March 1998
| 5th Round | Rangers | 0-0 | Dundee |
8th March 1998
| 5th Round | Dundee United | 2-3 | Celtic |
7th March 1998
| 5th Round | Heart of Midlothian | 4-1 | Ayr United |
| 5th Round | Falkirk | 3-0 | St. Johnstone |
18th February 1998
| 4th Round Replay | Inverness Caledonian Thistle | 2-3 | Dundee United |
17th February 1998
| 4th Round Replay | Rangers | 3-0 | Motherwell |
| 4th Round Replay | Dundee | 3-0 | Ross County |
16th February 1998
| 4th Round | Dunfermline Athletic | 1-2 | Celtic |
14th February 1998
| 4th Round | St. Johnstone | 3-1 | Stirling Albion |
| 4th Round | Ross County | 1-1 | Dundee |
| 4th Round | Raith Rovers | 1-3 | Falkirk |
| 4th Round | Motherwell | 2-2 | Rangers |
| 4th Round | Heart of Midlothian | 3-0 | Albion Rovers |
| 4th Round | Dundee United | 1-1 | Inverness Caledonian Thistle |
| 4th Round | Ayr United | 2-0 | Kilmarnock |
3rd February 1998
| 3rd Round Replay | Ross County | 1-0 | Airdrie United |
2nd February 1998
| 3rd Round Replay | Albion Rovers | 0-0 |
27th January 1998
| 3rd Round Replay | Motherwell | 1-0 | Dumbarton |
25th January 1998
| 3rd Round | Dundee | 4-2 | St. Mirren |
24th January 1998
| 3rd Round | Stranraer | 0-2 | Kilmarnock |
| 3rd Round | Stenhousemuir | 1-3 | Falkirk |
| 3rd Round | St. Johnstone | 1-0 | Partick Thistle |
| 3rd Round | Queen of the South | 1-3 | Stirling Albion |
| 3rd Round | 3-3 | Albion Rovers |
| 3rd Round | Inverness Caledonian Thistle | 8-1 | Annan Athletic |
| 3rd Round | Hibernian | 1-2 | Raith Rovers |
| 3rd Round | Heart of Midlothian | 2-0 |
| 3rd Round | 1-2 | Rangers |
| 3rd Round | Dunfermline Athletic | 7-2 | Edinburgh City |
| 3rd Round | Dundee United | 1-0 | Aberdeen |
| 3rd Round | Dumbarton | 1-1 | Motherwell |
| 3rd Round | Celtic | 2-0 | Greenock Morton |
| 3rd Round | Alloa Athletic | 0-3 | Ayr United |
| 3rd Round | Airdrie United | 2-2 | Ross County |
12th January 1998
| 2nd Round Replay | Queen of the South | 4-0 | Arbroath |
| 2nd Round Replay | Edinburgh City | 0-0 |
| 2nd Round | 6-0 | Montrose |
10th January 1998
| 2nd Round | Stranraer | 2-1 |
| 2nd Round | Stenhousemuir | 4-0 |
| 2nd Round | 1-1 | Edinburgh City |
7th January 1998
| 2nd Round | 2-1 |
6th January 1998
| 2nd Round | Arbroath | 1-1 | Queen of the South |
3rd January 1998
| 2nd Round | Ross County | 3-1 | Brechin City |
| 2nd Round | Peterhead | 0-2 | Alloa Athletic |
| 2nd Round | 0-1 | Dumbarton |
| 2nd Round | Inverness Caledonian Thistle | 2-0 | Queen's Park |
| 2nd Round | Forfar Athletic | 1-2 | Albion Rovers |
| 2nd Round | Annan Athletic | 3-1 |
13th December 1997
| 1st Round | 1-0 | Clyde |
9th December 1997
| 1st Round Replay | Montrose | 2-1 | Cowdenbeath |
6th December 1997
| 1st Round | Inverness Caledonian Thistle | 3-1 |
| 1st Round | East Fife | 2-3 | Stranraer |
| 1st Round | Cowdenbeath | 0-0 | Montrose |