| Club: | Rangers |
| Season: | 1958–59 |
| Manager: | Scot Symon |
| Chairman: | John Wilson |
| Stdtitle: | Ground |
| Stadium: | Ibrox Park |
| League: | Scottish League Division One |
| League Result: | 1st P34 W21 D8 L5 F92 A51 Pts50 |
| Cup1: | Scottish Cup |
| Cup1 Result: | Winners |
| Cup2 Result: | Group stage |
| Season Topscorer: | Ralph Brand (40) |
| Prevseason: | 1957–58 |
| Nextseason: | 1959–60 |
The 1958–59 season was the 79th season of competitive football by Rangers.
Rangers played a total of 43 competitive matches during the 1959–60 season.
All results are written with Rangers' score first.
| Date | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|
| 20 August 1958 | Third Lanark | H | 2–2 | 35,000 | ||
| 6 September 1958 | Celtic | A | 2–2 | 50,000 | ||
| 13 September 1958 | Partick Thistle | H | 2–1 | 41,000 | ||
| 20 September 1958 | Airdireonians | A | 4–5 | 18,000 | ||
| 27 September 1958 | Dundee | H | 2–1 | 32,000 | ||
| 4 October 1958 | Dunfermline Athletic | A | 7–1 | 17,000 | ||
| 11 October 1958 | St Mirren | H | 2–1 | 40,000 | ||
| 18 October 1958 | Raith Rovers | H | 4–4 | 31,000 | ||
| 25 October 1958 | Stirling Albion | A | 2–2 | 17,475 | ||
| 1 November 1958 | Hibernian | H | 4–0 | 17,000 | ||
| 8 November 1958 | Clyde | A | 4–1 | 25,000 | ||
| 15 November 1958 | Falkirk | H | 3–0 | 35,000 | ||
| 22 November 1958 | Kilmarnock | A | 3–0 | 25,672 | ||
| 29 November 1958 | Motherwell | A | 2–2 | 32,977 | ||
| 6 December 1958 | Queen of the South | A | 6–3 | 10,000 | ||
| 13 December 1958 | Heart of Midlothian | H | 5–0 | 66,000 | ||
| 20 December 1958 | Aberdeen | A | 3–1 | 18,000 | ||
| 27 December 1958 | Third Lanark | A | 3–2 | 30,000 | ||
| 1 January 1959 | Celtic | H | 2–1 | 55,000 | ||
| 3 January 1959 | Partick Thistle | A | 0–2 | 36,000 | ||
| 21 January 1959 | Airdrieonians | H | 2–1 | 30,000 | ||
| 24 January 1959 | Dunfermline Athletic | H | 1–0 | 30,000 | ||
| 28 January 1959 | Dundee | A | 1–3 | 16,000 | ||
| 7 February 1959 | St Mirren | A | 3–1 | 29,000 | ||
| 18 February 1959 | Raith Rovers | A | 2–2 | 8,000 | ||
| 21 February 1959 | Stirling Albion | H | 3–0 | 30,000 | ||
| 4 March 1959 | Hibernian | A | 2–2 | 32,000 | ||
| 7 March 1959 | Clyde | H | 3–1 | 33,000 | ||
| 14 March 1959 | Falkirk | A | 5–5 | 15,000 | ||
| 21 March 1959 | Kilmarnock | H | 1–0 | 25,000 | ||
| 28 March 1959 | Motherwell | H | 2–1 | 45,000 | ||
| 6 April 1959 | Queen of the South | H | 3–1 | 15,000 | ||
| 11 April 1959 | Heart of Midlothian | A | 0–2 | 30,000 | ||
| 18 April 1959 | Aberdeen | H | 1–2 | 41,000 |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 31 January 1959 | R1 | Forfar Athletic | A | 3–1 | 9,813 | ||
| 14 February 1959 | R2 | Heart of Midlothian | H | 3–2 | 53,000 | ||
| 28 February 1959 | R3 | Celtic | A | 1–2 | 42,000 |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 9 August 1958 | SR | Heart of Midlothian | H | 3–0 | 63,000 | ||
| 13 August 1958 | SR | Raith Rovers | A | 1–3 | 12,000 | ||
| 16 August 1958 | SR | Third Lanark | H | 2–2 | 38,000 | ||
| 23 August 1958 | SR | Heart of Midlothian | A | 1–2 | 42,000 | ||
| 27 August 1958 | SR | Raith Rovers | H | 6–0 | 25,000 | ||
| 30 August 1958 | SR | Third Lanark | A | 3–0 | 28,000 |