1996–97 Rangers F.C. season League Cup League Cup

| Date_ | Round | Opponent | Venue | Result_ | Attendance | Scorers |
|---|---|---|---|---|---|---|
| 14 August 1996 | R2 | Clydebank | A | 3–0 | 7450 | Van Vossen (2), McCoist |
| 4 September 1996 | R3 | Ayr United | H | 3–1 | 44732 | Albertz, Gascoigne, McInnes |
| 17 September 1996 | QF | Hibernian | H | 4–0 | 45104 | Van Vossen (2), Durie, Albertz |
| 22 October 1996 | SF | Dunfermline Athletic | N | 6–1 | 16791 | Laudrup (2), Andersen (2), McInnes, Albertz |
| 24 November 1996 | F | Heart of Midlothian | N | 4–3 | 48559 | McCoist (2), Gascoigne (2) |