| Club: | Rangers |
| Season: | 1963–64 |
| Manager: | Scot Symon |
| Chairman: | John Lawrence |
| Stdtitle: | Ground |
| Stadium: | Ibrox Park |
| League: | Scottish League Division One |
| League Result: | 1st P34 W25 D5 L4 F85 A31 Pts55 |
| Cup1: | Scottish Cup |
| Cup1 Result: | Winners |
| Cup2 Result: | Winners |
| Cup3 Result: | First round |
| Season Topscorer: | Jim Forrest (39) |
| League Topscorer: | Jim Forrest (??) |
| Prevseason: | 1962–63 |
| Nextseason: | 1964–65 |
The 1963–64 season was the 84th season of competitive football by Rangers.
Rangers played a total of 52 competitive matches during the 1963–64 season.
All results are written with Rangers' score first.
| Date | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|
| 21 August 1963 | Dundee | A | 1–1 | 34,500 | Brand (pen.) | |
| 7 September 1963 | Celtic | H | 2–1 | 75,000 | McLean, Brand | |
| 14 September 1963 | Partick Thistle | A | 3–0 | 35,000 | Forrest (3) | |
| 21 September 1963 | Hibernian | H | 5–0 | 50,000 | McLean, Brand (2) Forrest, Henderson | |
| 28 September 1963 | Third Lanark | A | 5–0 | 25,000 | Forrest (4) Baxter | |
| 5 October 1963 | Falkirk | H | 4–0 | 25,000 | McLean (3) Henderson | |
| 12 October 1963 | St Mirren | A | 3–0 | 25,000 | Brand, Willoughby, Forrest | |
| 19 October 1963 | East Stirlingshire | H | 3–1 | 20,000 | Watson, Forrest (2) | |
| 30 October 1963 | Queen of the South | H | 2–0 | 15,000 | Forrest, Brand | |
| 2 November 1963 | Airdrieonians | A | 4–0 | 20,000 | Willoughby, Forrest, Baxter, Watson | |
| 9 November 1963 | Aberdeen | H | 0–0 | 34,000 | ||
| 16 November 1963 | Kilmarnock | A | 1–1 | 30,000 | Brand (pen.) | |
| 23 November 1963 | Dunfermline Athletic | A | 4–1 | 21,000 | Watson (2) Henderson, Forrest | |
| 30 November 1963 | Heart of Midlothian | H | 0–3 | 24,000 | ||
| 7 December 1963 | Dundee United | A | 3–2 | 20,000 | McLean (2) Brand | |
| 14 December 1963 | Motherwell | A | 3–3 | 16,500 | Provan (pen.) Greig, Brand | |
| 21 December 1963 | St Johnstone | H | 2–3 | 14,000 | Brand, Provan (pen.) | |
| 28 December 1963 | Dundee | H | 2–1 | 43,000 | Forrest, Provan (pen.) | |
| 1 January 1964 | Celtic | A | 1–0 | 65,176 | Millar | |
| 2 January 1964 | Partick Thistle | H | 4–3 | 30,000 | Brand (2) Greig, Millar | |
| 4 January 1964 | Hibernian | A | 1–0 | 18,000 | Millar | |
| 18 January 1964 | Third Lanark | H | 2–1 | 17,000 | Brand (2) | |
| 1 February 1964 | Falkirk | A | 1–0 | 16,000 | Brand | |
| 8 February 1964 | St Mirren | H | 2–3 | 25,000 | Millar, Wilson | |
| 19 February 1964 | East Strilingshire | A | 5–0 | 6,000 | Wilson (2) Forrest (2) Millar (o.g.) | |
| 22 February 1964 | Queen of the South | A | 4–1 | 9,500 | Forrest (2) Wilson, Willoughby | |
| 29 February 1964 | Airdrieonians | H | 4–1 | 26,500 | Baxter (pen.) Greig, Forrest (2) | |
| 11 March 1964 | Aberdeen | A | 1–1 | 22,000 | Baxter (pen.) | |
| 14 March 1964 | Kilmarnock | H | 2–0 | 46,000 | McLean, Wilson | |
| 21 March 1964 | Dunfermline Athletic | H | 2–1 | 30,000 | Wilson, McMillan | |
| 1 April 1964 | Heart of Midlothian | A | 2–1 | Att. N/A | Brand, Millar | |
| 4 April 1964 | Dundee United | H | 2–0 | 28,000 | Brand, McLean | |
| 18 April 1964 | Motherwell | H | 5–1 | 39,000 | Greig, Brand (2) Millar, McLean | |
| 29 April 1964 | St Johnstone | A | 0–1 | 12,000 |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 11 January 1964 | R1 | Stenhousemuir | A | 5–1 | 10,384 | Millar, Greig (2) Provan (pen.), Brand | |
| 25 January 1964 | R2 | Duns | H | 9–0 | 17,350 | Millar (4) Brand (3) McLean, Henderson | |
| 15 February 1964 | R3 | Partick Thistle | H | 3–0 | 60,421 | Wilson (2) Forrest | |
| 7 March 1964 | QF | Celtic | H | 2–0 | 84,724 | Forrest, Henderson | |
| 28 March 1964 | SF | Dunfermline Athletic | N | 1–0 | 67,823 | Wilson | |
| 25 April 1964 | F | Dundee | N | 3–1 | 120,982 | Millar (2) Brand |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 10 August 1963 | SR | Celtic | A | 3–0 | 60,000 | Forrest (2) McLean | |
| 14 August 1963 | SR | Queen of the South | H | 5–2 | 30,800 | McLean, Wilson (2) Forrest, Provan | |
| 17 August 1963 | SR | Kilmarnock | A | 4–1 | 35,000 | Henderson, McLean, Brand (2) | |
| 24 August 1963 | SR | Celtic | H | 3–0 | 65,102 | Wilson, Brand (pen.) Forrest | |
| 28 August 1963 | SR | Queen of the South | A | 5–2 | 10,000 | Forrest (4) Wilson | |
| 31 August 1963 | SR | Kilmarnock | H | 2–2 | 32,000 | Wilson, Forrest | |
| 11 September 1963 | QF1 | East Fife | A | 1–1 | 14,000 | Forrest | |
| 18 September 1963 | QF2 | East Fife | H | 2–0 | 25,000 | Brand (pen.) Forrest | |
| 2 October 1963 | SF | Berwick Rangers | N | 3–1 | 16,000 | Wilson, Brand, Forrest | |
| 26 October 1963 | F | Morton | N | 5–0 | 105,907 | Forrest (4) Willoughby |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 25 September 1963 | PR1L1 | Real Madrid | H | 0–1 | 81,215 | ||
| 9 October 1963 | PR1L2 | Real Madrid | A | 0–6 | 90,000 |