| Club: | Rangers |
| Season: | 1937–38 |
| Manager: | Bill Struth |
| Chairman: | James Bowie |
| Stdtitle: | Ground |
| Stadium: | Ibrox Park |
| League: | Scottish League Division One |
| League Result: | 3rd P38 W18 D13 L7 F75 A49 Pts49 |
| Cup1: | Scottish Cup |
| Cup1 Result: | Semi-final |
| Season Topscorer: | Willie Thornton, Jimmy Duncanson (25) |
| League Topscorer: | Willie Thornton, Jimmy Duncanson (18) |
| Prevseason: | 1936–37 |
| Nextseason: | 1938–39 |
The 1937–38 season was the 64th season of competitive football by Rangers.
All results are written with Rangers' score first.
| Date | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|
| 14 August 1937 | Falkirk | H | 0–0 | 20,000 | ||
| 18 August 1937 | Motherwell | H | 2–1 | 22,000 | ||
| 21 August 1938 | Hibernian | A | 0–0 | 31,000 | ||
| 25 August 1937 | Falkirk | A | 1–0 | 22,618 | ||
| 28 August 1937 | St Johnstone | H | 2–2 | 20,000 | ||
| 4 September 1937 | Motherwell | A | 1–1 | 25,000 | ||
| 11 September 1937 | Celtic | H | 3–1 | 80,000 | ||
| 15 September 1937 | Hibernian | H | 2–0 | 12,000 | ||
| 18 September 1937 | Ayr United | A | 1–1 | 16,000 | ||
| 25 September 1937 | St Mirren | H | 4–0 | 12,000 | ||
| 2 October 1937 | Third Lanark | A | 2–1 | 19,000 | ||
| 9 October 1937 | Dundee | H | 6–0 | 30,000 | ||
| 23 October 1937 | Hamilton Academical | H | 2–2 | 12,000 | ||
| 6 November 1937 | Kilmarnock | H | 4–1 | 12,000 | ||
| 13 November 1937 | Arbroath | A | 1–1 | 8,500 | ||
| 20 November 1937 | Morton | H | 3–1 | 8,000 | ||
| 27 November 1937 | Heart of Midlothian | H | 0–3 | 51,000 | ||
| 4 December 1937 | Clyde | A | 1–1 | 20,000 | ||
| 11 December 1937 | Queen's Park | H | 2–1 | 15,000 | ||
| 25 December 1937 | St Johnstone | A | 5–1 | 8,000 | ||
| 1 January 1938 | Celtic | A | 0–3 | 83,000 | ||
| 3 January 1938 | Partick Thistle | H | 1–3 | 20,000 | ||
| 8 January 1938 | Ayr United | H | 2–2 | 20,000 | ||
| 15 January 1938 | St Mirren | A | 1–1 | 20,000 | ||
| 29 January 1938 | Third Lanark | H | 3–0 | 12,000 | ||
| 5 February 1938 | Dundee | A | 1–6 | 15,000 | ||
| 19 February 1938 | Hamilton Academical | A | 2–2 | 10,000 | ||
| 26 February 1938 | Aberdeen | H | 2–2 | 35,000 | ||
| 5 March 1938 | Queen of the South | A | 2–0 | 11,000 | ||
| 12 March 1938 | Kilmarnock | A | 1–2 | 10,000 | ||
| 23 March 1938 | Arbroath | H | 3–1 | 10,000 | ||
| 26 March 1938 | Morton | A | 3–2 | 6,000 | ||
| 9 April 1938 | Clyde | H | 1–0 | 7,000 | ||
| 13 April 1938 | Aberdeen | A | 3–0 | 18,000 | ||
| 16 April 1938 | Queen's Park | A | 3–0 | 19,083 | ||
| 18 April 1938 | Partick Thistle | A | 1–1 | 10,000 | ||
| 23 April 1938 | Heart of Midlothian | A | 2–3 | 28,204 | ||
| 30 April 1938 | Queen of the South | H | 2–3 | 12,000 |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 22 January 1938 | R1 | Alloa Athletic | A | 6–1 | 9,400 | ||
| 12 February 1938 | R2 | Queen of the South | H | 3–1 | 50,000 | ||
| 19 March 1938 | R3 | Falkirk | A | 2–1 | 20,056 | ||
| 2 April 1938 | SF | Kilmarnock | N | 3–4 | 70,833 |