| Club: | Rangers |
| Season: | 1940–41 |
| Manager: | Bill Struth |
| Chairman: | James Bowie |
| Stdtitle: | Ground |
| Stadium: | Ibrox Park |
| League: | Southern League |
| League Result: | 1st P30 W21 D4 L5 F79 A33 Pts46 |
| Cup1 Result: | Winners |
| Cup2 Result: | Runners-up |
| Season Topscorer: | Willie Thornton, Jimmy Duncanson (25) |
| League Topscorer: | Willie Thornton, Jimmy Duncanson (18) |
| Prevseason: | 1939–40 |
| Nextseason: | 1941–42 |
The 1940–41 season was the 2nd season of wartime football by Rangers.
All results are written with Rangers' score first.
| Date | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|
| 10 August 1940 | Falkirk | A | 3–1 | |||
| 17 August 1940 | Hibernian | H | 5–1 | |||
| Motherwell | A | 3–2 | ||||
| 31 August 1940 | Partick Thistle | H | 3–1 | |||
| 7 September 1940 | Celtic | A | 0–0 | |||
| 14 September 1940 | Airdrieonians | H | 2–0 | |||
| 21 September 1940 | St Mirren | H | 3–0 | |||
| 5 October 1940 | Hamilton Academical | H | 2–0 | |||
| 12 October 1940 | Heart of Midlothian | A | 1–1 | |||
| 19 October 1940 | Albion Rovers | H | 2–0 | |||
| 26 October 1940 | Dumbarton | A | 4–1 | |||
| 2 November 1940 | Queen's Park | A | 5–0 | |||
| 9 November 1940 | Clyde | H | 3–2 | |||
| 16 November 1940 | Morton | H | 5–4 | |||
| 23 November 1940 | Falkirk | H | 4–0 | |||
| 30 November 1940 | Hibernian | A | 0–1 | |||
| 7 December 1940 | Motherwell | H | 2–3 | |||
| 14 December 1940 | Partick Thistle | A | 4–1 | |||
| 21 December 1940 | St Mirren | A | 0–2 | |||
| 28 December 1940 | Airdrienonians | A | 2–0 | |||
| 1 January 1941 | Celtic | H | 2–3 | |||
| 4 January 1941 | Third Lanark | A | 1–0 | |||
| 18 January 1941 | Heart of Midlothian | H | 3–0 | |||
| 25 January 1941 | Albion Rovers | A | 7–2 | |||
| 1 February 1941 | Dumbarton | H | 1–1 | |||
| 8 February 1941 | Queen's Park | H | 1–1 | |||
| 15 February 1941 | Clyde | A | 3–0 | |||
| 22 February 1941 | Morton | A | 4–2 | |||
| 12 April 1941 | Hamilton Academical | A | 4–1 | |||
| 28 April 1942 | Third Lanark | H | 0–3 |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 1 March 1941 | SR | Falkirk | H | 4–0 | |||
| 8 March 1941 | SR | Dumbarton | A | 8–1 | |||
| 15 March 1941 | SR | Third Lanark | H | 3–0 | |||
| 22 March 1941 | SR | Falkirk | A | 1–2 | |||
| 29 March 1941 | SR | Dumbarton | H | 6–2 | |||
| 5 April 1941 | SR | Third Lanark | A | 2–1 | |||
| 19 April 1941 | SF | St Mirren | N | 4–1 | 36,000 | ||
| 10 May 1941 | F | Heart of Midlothian | N | 1–1 | 69,000 | ||
| 17 May 1941 | F R | Heart of Midlothian | N | 4–2 | 90,428 |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 7 June 1941 | R1 L1 | Falkirk | A | 3–2 | |||
| 14 June 1941 | R1 L2 | Falkirk | H | 3–1 | |||
| 21 June 1941 | R2 L1 | Hamilton Academical | A | 3–1 | |||
| 28 June 1941 | R2 L2 | Hamilton Academical | H | 5–5 | |||
| 5 July 1941 | SF | Heart of Midlothian | N | 4–2 | |||
| 12 July 1941 | F | Hibernian | N | 2–3 |