| Club: | Rangers |
| Season: | 1935–36 |
| Manager: | Bill Struth |
| Chairman: | James Bowie |
| Stdtitle: | Ground |
| Stadium: | Ibrox Park |
| League: | Scottish League Division One |
| League Result: | 2nd P38 W27 D7 L4 F110 A43 Pts61 |
| Cup1: | Scottish Cup |
| Cup1 Result: | Winners |
| Season Topscorer: | Willie Thornton, Jimmy Duncanson (25) |
| League Topscorer: | Willie Thornton, Jimmy Duncanson (18) |
| Prevseason: | 1934–35 |
| Nextseason: | 1936–37 |
The 1935–36 season was the 62nd season of competitive football by Rangers.
Rangers finished second in the league behind rivals Celtic. Rangers would win the Scottish league cup.
All results are written with Rangers' score first.
| Date | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|
| 10 August 1935 | Arbroath | H | 6–0 | 11,000 | ||
| 14 August 1935 | Albion Rovers | A | 2–1 | 10,000 | ||
| 17 August 1935 | Ayr United | A | 2–2 | 18,000 | ||
| 24 August 1935 | Dundee | H | 4–3 | 18,000 | ||
| 28 August 1935 | St Johnstone | H | 7–0 | 15,000 | ||
| 31 August 1935 | Partick Thistle | A | 3–1 | 30,000 | ||
| 7 September 1935 | Airdrieonians | H | 5–3 | 16,000 | ||
| 14 September 1935 | Hibernian | A | 1–1 | 18,000 | ||
| 21 September 1935 | Celtic | H | 1–2 | 72,000 | ||
| 28 September 1935 | Motherwell | A | 2–0 | 15,000 | ||
| 5 October 1935 | Dunfermline Athletic | H | 6–2 | 12,000 | ||
| 19 October 1935 | Heart of Midothian | H | 1–1 | 26,000 | ||
| 26 October 1935 | Clyde | A | 4–1 | 14,000 | ||
| 2 November 1935 | Queen's Park | H | 3–3 | 16,000 | ||
| 9 November 1935 | Queen of the South | A | 2–0 | 10,700 | ||
| 16 November 1935 | Hamilton Academical | H | 3–1 | 16,000 | ||
| 23 November 1935 | Aberdeen | A | 0–1 | 33,578 | ||
| 30 November 1935 | Kilmarnock | H | 2–1 | 8,000 | ||
| 7 December 1935 | St Johnstone | A | 2–1 | 12,000 | ||
| 14 December 1935 | Albion Rovers | H | 5–1 | 6,000 | ||
| 21 December 1935 | Arbroath | A | 0–0 | 8,000 | ||
| 28 December 1935 | Ayr United | H | 6–1 | 8,000 | ||
| 1 January 1936 | Celtic | A | 4–3 | 65,000 | ||
| 2 January 1936 | Partick Thistle | H | 3–1 | 25,000 | ||
| 4 January 1936 | Dundee | A | 3–0 | 23,000 | ||
| 11 January 1936 | Airdrieonians | A | 2–0 | 14,000 | ||
| 1 February 1936 | Motherwell | H | 0–0 | 35,000 | ||
| 15 February 1936 | Dunfermline Athletic | A | 6–2 | 8,500 | ||
| 29 February 1936 | Third Lanark | H | 4–2 | 15,000 | ||
| 14 March 1936 | Clyde | H | 4–1 | 21,000 | ||
| 18 March 1936 | Hibernian | H | 3–0 | 7,000 | ||
| 21 March 1936 | Queen's Park | A | 3–1 | 27,546 | ||
| 8 April 1936 | Queen of the South | H | 2–1 | 5,000 | ||
| 11 April 1936 | Haamilton Academical | A | 0–1 | 12,000 | ||
| 13 April 1936 | Third Lanark | A | 3–1 | 12,000 | ||
| 22 April 1936 | Heart of Midlothian | A | 1–1 | 28,811 | ||
| 25 April 1936 | Kilmarnock | A | 3–0 | 7,000 | ||
| 29 April 1936 | Aberdeen | H | 2–3 | 12,000 |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 29 January 1936 | R1 | East Fife | H | 3–1 | 3,000 | ||
| 8 February 1936 | R2 | Albion Rovers | A | 3–1 | 27,381 | ||
| 22 February 1936 | R3 | St Mirren | A | 2–1 | 43,308 | ||
| 7 March 1936 | R4 | Aberdeen | A | 1–0 | 42,663 | ||
| 28 March 1936 | SF | Clyde | N | 3–0 | 56,243 | ||
| 18 April 1936 | F | Third Lanark | N | 1–0 | 88,859 |