18th May 1996
| Final | Rangers | 5-1 | Heart of Midlothian |
7th April 1996
| Semi Final | Rangers | 2-1 | Celtic |
6th April 1996
| Semi Final | Heart of Midlothian | 2-1 | Aberdeen |
10th March 1996
| 5th Round | Celtic | 2-1 | Dundee United |
9th March 1996
| 5th Round | 0-3 | Rangers |
| 5th Round | Aberdeen | 2-1 |
7th March 1996
| 5th Round | 1-2 | Heart of Midlothian |
27th February 1996
| 4th Round Replay | 0-0 |
17th February 1996
| 4th Round | 0-2 | Aberdeen |
| 4th Round | 0-1 |
| 4th Round | 3-0 |
| 4th Round | Kilmarnock | 1-2 | Heart of Midlothian |
| 4th Round | Dundee United | 1-0 |
| 4th Round | Celtic | 2-0 |
| 4th Round | 2-2 |
15th February 1996
| 4th Round | 1-4 | Rangers |
14th February 1996
| 3rd Round Replay | 3-2 |
| 3rd Round | 1-2 | Dundee United |
13th February 1996
| 3rd Round | 1-1 |
12th February 1996
| 3rd Round Replay | 1-1 |
| 3rd Round | 3-0 | St. Mirren |
31st January 1996
| 3rd Round | Heart of Midlothian | 1-0 |
| 3rd Round | 0-1 |
| 3rd Round | 3-1 |
30th January 1996
| 3rd Round | Motherwell | 0-2 | Aberdeen |
| 3rd Round | 0-2 |
| 3rd Round | 1-3 |
| 3rd Round | 0-1 |
28th January 1996
| 3rd Round | 0-3 | Celtic |
27th January 1996
| 3rd Round | 0-3 |
| 3rd Round | 3-0 |
| 3rd Round | 1-10 | Rangers |
| 3rd Round | Hibernian | 0-2 | Kilmarnock |
| 3rd Round | 1-1 |
15th January 1996
| 2nd Round 2nd Replay | 1-3 |
13th January 1996
| 2nd Round Replay | 2-0 |
| 2nd Round Replay | 1-2 |
| 2nd Round Replay | 2-1 |
| 2nd Round Replay | 1-2 |
9th January 1996
| 2nd Round Replay | 0-0 |
7th January 1996
| 2nd Round | 0-1 |
6th January 1996
| 2nd Round | 2-2 |
| 2nd Round | 3-1 |
| 2nd Round | 0-0 |
| 2nd Round | 2-4 |
| 2nd Round | 2-1 |
| 2nd Round | 3-1 |
| 2nd Round | 0-0 |
| 2nd Round | 2-2 |
| 2nd Round | 3-2 | Livingston |
| 2nd Round | 3-3 |
| 2nd Round | 0-2 |
18th December 1995
| 1st Round Replay | 0-1 |
16th December 1995
| 1st Round | 0-1 |
| 1st Round | 0-2 |
12th December 1995
| 1st Round | 2-2 |
9th December 1995
| 1st Round | 0-3 | Livingston |