| Club: | Rangers |
| Season: | 1955–56 |
| Manager: | Scot Symon |
| Stdtitle: | Ground |
| Stadium: | Ibrox Park |
| League: | Scottish League Division One |
| League Result: | 1st P34 W24 D8 L4 F85 A27 Pts52 |
| Cup1: | Scottish Cup |
| Cup1 Result: | Quarter-finalists |
| Cup2 Result: | Semi-finalists |
| Season Topscorer: | Ralph Brand (40) |
| Prevseason: | 1954–55 |
| Nextseason: | 1956–57 |
The 1955–56 season was the 76th season of competitive football by Rangers.
Rangers played a total of 46 competitive matches during the 1955–56 season.
All results are written with Rangers' score first.
| Date | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|
| 10 September 1955 | Stirling Albion | H | 0–0 | 25,000 | ||
| 24 September 1955 | Celtic | H | 0–0 | 47,000 | ||
| 8 October 1955 | Airdrieonians | H | 4–4 | 25,000 | ||
| 15 October 1955 | Partick Thistle | A | 3–1 | 30,000 | ||
| 22 October 1955 | Stirling Albion | A | 2–2 | 14,000 | ||
| 29 October 1955 | Queen of the South | A | 1–2 | 16,500 | ||
| 5 November 1955 | Falkirk | A | 2–1 | 18,000 | ||
| 12 November 1955 | Heart of Midlothian | H | 4–1 | 51,000 | ||
| 19 November 1955 | Kilmarnock | A | 2–1 | 25,600 | ||
| 26 November 1955 | Motherwell | H | 2–2 | 40,000 | ||
| 3 December 1955 | Raith Rovers | H | 4–0 | 26,000 | ||
| 10 December 1955 | Aberdeen | A | 0–0 | 18,000 | ||
| 17 December 1955 | Hibernian | H | 4–1 | 50,000 | ||
| 24 December 1955 | Dunfermline Athletic | H | 6–0 | 30,000 | ||
| 31 December 1955 | Clyde | A | 4–0 | 31,000 | ||
| 2 January 1956 | Celtic | A | 1–0 | 47,000 | ||
| 7 January 1956 | Dundee | H | 3–1 | 46,000 | ||
| 21 January 1956 | East Fife | H | 3–0 | 27,000 | ||
| 28 January 1956 | Airdrieonians | A | 4–0 | 22,000 | ||
| 11 February 1956 | Partick Thistle | H | 1–0 | 45,000 | ||
| 25 February 1956 | St Mirren | A | 1–0 | 43,900 | ||
| 7 March 1956 | Queen of the South | H | 8–0 | 30,000 | ||
| 10 March 1956 | Falkirk | H | 4–0 | 45,000 | ||
| 17 March 1956 | Heart of Midlothian | A | 1–1 | 50,000 | ||
| 21 March 1956 | St Mirren | H | 4–1 | 30,000 | ||
| 24 March 1956 | Kilmarnock | H | 3–2 | 30,000 | ||
| 31 March 1956 | Motherwell | A | 2–1 | 27,500 | ||
| 2 April 1956 | Dundee | A | 3–0 | 18,500 | ||
| 7 April 1956 | Raith Rovers | A | 5–0 | 20,000 | ||
| 9 April 1956 | East Fife | A | 1–2 | 10,000 | ||
| 18 April 1956 | Aberdeen | H | 1–0 | 45,000 | ||
| 21 April 1956 | Hibernian | A | 2–2 | 30,000 | ||
| 25 April 1956 | Dunfermline Athleti | A | 0–1 | 10,000 | ||
| 28 April 1956 | Clyde | H | 0–1 | 25,000 |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 4 February 1956 | R5 | Aberdeen | H | 2–1 | 66,000 | ||
| 18 February 1956 | R6 | Dundee | A | 1–0 | 42,500 | ||
| 3 March 1956 | QF | Heart of Midlothian | A | 0–4 | 47,258 |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 13 August 1955 | SR | Falkirk | A | 5–0 | 19,000 | ||
| 17 August 1955 | SR | Falkirk | H | 4–3 | 35,000 | ||
| 20 August 1955 | SR | Queen of the South | A | 2–1 | 15,000 | ||
| 27 August 1955 | SR | Celtic | H | 1–4 | 75,000 | ||
| 31 August 1955 | SR | Celtic | A | 4–0 | 61,000 | ||
| 3 September 1955 | SR | Queen of the South | H | 6–0 | 45,000 | ||
| 14 September 1955 | QF L1 | Hamilton Academical | A | 2–1 | 18,000 | ||
| 17 September 1955 | QF L2 | Hamilton Academical | H | 8–0 | 40,000 | ||
| 1 October 1955 | SF | Aberdeen | N | 1–2 | 79,763 |