| 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 1920–21 season was the 50th season of competitive football by Rangers.
Rangers played a total of 48 competitive matches during the 1920–21 season. The side was dominant, claiming victory thirty-five of the 42 league games, winning the league. They only suffered one league loss, which was a 2-0 defeat to Celtic on New Year's Day.
The side also reached the final of the Scottish Cup that season, beating the likes of Alloa Athletic and Dumbarton before 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 |