1995–96 Rangers F.C. season Scottish Cup Scottish Cup

| Date_ | Round | Opponent | Venue | Result_ | Attendance |
|---|---|---|---|---|---|
| 27 January 1996 | R3 | Keith | A | 10-1 | 15461 |
| 15 February 1996 | R4 | Clyde | A | 4–1 | 5722 |
| 9 March 1996 | QF | Inverness Thistle | A | 3–0 | 11296 |
| 7 April 1996 | SF | Celtic | N | 2–1 | 36333 |
| 18 May 1996 | F | Heart of Midlothian | N | 5–1 | 37760 |