| Club: | Rangers |
| Season: | 1920–21 |
| Manager: | Bill Struth |
| Chairman: | John Ure Primrose |
| Stdtitle: | Ground |
| Stadium: | Ibrox Park |
| League: | Scottish League Division One |
| League Result: | 1st P42 W35 D6 L1 F91 A24 Pts76 |
| Cup1: | Scottish Cup |
| Cup1 Result: | Runner-up |
| Season Topscorer: | Andy Cunningham (27) |
| League Topscorer: | Andy Cunningham (24) |
| Prevseason: | 1919–20 |
| Nextseason: | 1921–24 |
The 1920–24 season is the 50th season of competitive football by Rangers.
Rangers played a total of 48 competitive matches during the 1920–21 season. The side won the league winning thirty-five of the 42 league games and recording only one league defeat, at home to Celtic.
The side also reached the final of the Scottish Cup that season, beating the likes of Alloa Athletic and Dumbarton en route to a 1-0 defeat at the hands of Partick Thistle.
All results are written with Rangers' score first.
| Date | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|
| 17 Aug 1920 | Airdrieonians | H | 4–1 | 12,000 | Cunningham (2), Archibald, Cairns | |
| 21 Aug 1920 | Motherwell | H | 2–1 | 45,000 | Walls, Cunningham | |
| 24 Aug 1920 | Aberdeen | H | 2–1 | 20,000 | Cunningham, Cairns | |
| 28 Aug 1920 | Kilmarnock | A | 2–1 | 15,000 | Archibald, Cunningham | |
| 01 Sep 1920 | Motherwell | A | 2–0 | 25,000 | Muirhead, Cunningham | |
| 07 Sep 1920 | Albion Rovers | H | 2–1 | 12,000 | Archibald, Cunningham | |
| 11 Sep 1920 | Greenock Morton | H | 2–0 | 41,000 | Cunningham (2) | |
| 20 Sep 1920 | Heart of Midlothian | A | 4–0 | 30,000 | Cunningham (2), Cairns, Bowie | |
| 25 Sep 1920 | Aberdeen | A | 1–1 | 21,800 | Cunningham | |
| 27 Sep 1920 | Hibernian | H | 1–0 | 20,000 | Cairns | |
| 02 Oct 1920 | St. Mirren | H | 2–0 | 20,000 | Archibald, Cunningham | |
| 09 Oct 1920 | Dumbarton | A | 5–2 | 10,000 | Cunningham (2), Meiklejohn, Cairns, Morton | |
| 16 Oct 1920 | Partick Thistle | H | 3–0 | 30,000 | Archibald (2), Cunningham | |
| 23 Oct 1920 | Celtic | A | 2–1 | 65,269 | Cairns, Morton | |
| 30 Oct 1920 | Third Lanark | H | 2–1 | 25,000 | Cunningham, Morton | |
| 06 Nov 1920 | Dundee | H | 5–0 | 43,000 | Henderson (4), Archibald | |
| 13 Nov 1920 | Clydebank | A | 4–2 | 22,000 | Henderson (4) | |
| 20 Nov 1920 | Hamilton Academical | H | 4–0 | 25,000 | Henderson (2), Cunningham, Bowie | |
| 27 Nov 1920 | Albion Rovers | A | 2–1 | 22,000 | Cairns, Muirhead | |
| 04 Dec 1920 | Queen's Park | H | 3–1 | 30,000 | Muirhead (2), Meiklejohn | |
| 11 Dec 1920 | Falkirk | H | 2–0 | 25,000 | Henderson, Cunningham | |
| 18 Dec 1920 | Ayr United | A | 1–1 | 13,000 | Cunningham | |
| 25 Dec 1920 | Clyde | A | 3–1 | 36,000 | Walls, Cunningham, Henderson | |
| 01 Jan 1921 | Celtic | H | 0–2 | 69,260 | ||
| 03 Jan 1921 | Partick Thistle | A | 2–0 | 42,000 | Archibald, Cairns | |
| 08 Jan 1921 | Kilmarnock | H | 2–0 | 15,000 | Henderson (2) | |
| 15 Jan 1921 | Hamilton Academical | A | 1–0 | 20,000 | Morton | |
| 22 Jan 1921 | Dumbarton | H | 2–0 | 15,000 | Cunningham, Cairns | |
| 29 Jan 1921 | Airdrieonians | A | 3–0 | 17,000 | Archibald, Henderson, Morton | |
| 09 Feb 1921 | Raith Rovers | H | 1–0 | 15,000 | Archibald | |
| 12 Feb 1921 | Dundee | A | 2–1 | 23,000 | Henderson, Cairns | |
| 02 Mar 1921 | Falkirk | A | 2–0 | 9,000 | Cairns, Cunningham | |
| 09 Mar 1921 | Ayr United | H | 7–2 | 8,000 | Henderson (4), Archibald, Cunningham, Cairns | |
| 19 Mar 1921 | Clydebank | H | 1–0 | 15,000 | Archibald | |
| 28 Mar 1921 | Queen's Park | A | 1–1 | 18,000 | Dixon | |
| 02 Apr 1921 | Greenock Morton | A | 0–0 | 15,000 | ||
| 09 Apr 1921 | Hibernian | A | 1–1 | 18,000 | Archibald | |
| 19 Apr 1921 | Clyde | H | 3–1 | 10,000 | Meiklejohn, Archibald, Henderson | |
| 21 Apr 1921 | St. Mirren | A | 1–0 | 10,000 | Meiklejohn | |
| 23 Apr 1921 | Third Lanark | A | 1–0 | 30,000 | Morton | |
| 27 Apr 1921 | Heart of Midlothian | H | 0–0 | 10,000 | ||
| 30 Apr 1921 | Raith Rovers | A | 1–0 | 15,000 | Dixon |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 05 Feb 1921 | R2 | Greenock Morton | H | 2–0 | 67,000 | Morton, Henderson | |
| 19 Feb 1921 | R3 | Alloa Athletic | H | 0–0 | 60,000 | ||
| 26 Feb 1921 | R3 R | Alloa Athletic | H | 4–1 | 55,000 | Cairns (2), Cunningham, Archibald | |
| 05 Mar 1921 | QF | Dumbarton | A | 3–0 | 6,000 | Bowie, Cunningham, Henderson | |
| 26 Mar 1921 | SF | Albion Rovers | N | 4–1 | 65,000 | Cairns (2), Cunningham, Archibald | |
| 16 Apr 1921 | F | Partick Thistle | N | 0–1 | 28,294 |
| Player | Position | Appearances | Goals | |
|---|---|---|---|---|
| William Robb | GK | 48 | 0 | |
 Bert Manderson | DF | 47 | 0 | |
| James Smith | DF | 9 | 0 | |
| James Bowie | MF | 29 | 3 | |
| Arthur Dixon | DF | 47 | 2 | |
| James Walls | MF | 23 | 2 | |
| Sandy Archibald | MF | 44 | 16 | |
| Tommy Muirhead | MF | 19 | 4 | |
| Andy Cunningham | MF | 46 | 27 | |
| Tommy Cairns | FW | 44 | 16 | |
| Alan Morton | MF | 45 | 7 | |
| David Meiklejohn | DF | 41 | 4 | |
| Harold McKenna | DF | 4 | 0 | |
| James Low | MF | 3 | 0 | |
| DF | 4 | 0 | ||
| Thomas Reid | DF | 3 | 0 | |
| Billy McCandless | DF | 32 | 0 | |
| Geordie Henderson | FW | 29 | 23 | |
| Tommy McDonald | MF | 2 | 0 | |
| James Morton | DF | 2 | 0 | |
| Alexander Johnstone | MF | 3 | 0 | |
| Hector Lawson | MF | 2 | 0 | |
| Bob McDermid | FW | 2 | 0 |