| Club: | Rangers |
| Season: | 1903–04 |
| Manager: | William Wilton |
| Chairman: | James Henderson |
| Stdtitle: | Ground |
| Stadium: | Ibrox Park |
| League: | Scottish League Division One |
| League Result: | 3rd P26 W16 D6 L4 F80 A33 Pts38 |
| Cup1: | Scottish Cup |
| Cup1 Result: | Runners-up |
| Season Topscorer: | Robert Hamilton (31) |
| League Topscorer: | Robert Hamilton (28) |
| Prevseason: | 1902–03 |
| Nextseason: | 1904–05 |
The 1903–04 season was the 30th season of competitive football by Rangers.
Rangers played a total of 31 competitive matches during the 1903–04 season. The club finished fourth in Scottish League Division One, five points behind champions Third Lanark. Rangers was equal on points with third placed Celtic and a point behind second placed Hearts.
The Scottish Cup campaign ended in a 3–2 cup final defeat to the club's Old Firm rivals. A Finlay Speedie brace was not enough to win them the cup.
All results are written with Rangers' score first.
| Date | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|
| 15 August 1903 | Third Lanark | H | 4–3 | 7,000 | Hamilton (3), Smith | |
| 22 August 1903 | Airdrieonians | A | 3–1 | 10,000 | Stark, Speedie, Hamilton | |
| 29 August 1903 | St Mirren | H | 2–2 | 10,000 | Hamilton, Walker | |
| 5 September 1903 | Motherwell | A | 5–2 | 6,000 | Hamilton (4), Speedie | |
| 19 September 1903 | Heart of Midlothian | H | 5–1 | 9,000 | Hamilton (3), Walker (2) | |
| 26 September 1903 | Queen's Park | H | 5–0 | 14,000 | Hamilton (2), Robertson (pen), Walker, Mackie | |
| 28 September 1903 | Partick Thistle | A | 4–1 | 8,000 | Speedie, Robertson (pen), Walker, Smith | |
| 10 October 1903 | Third Lanark | H | 0–1 | 25,000 | ||
| 17 October 1903 | Celtic | A | 0–0 | 25,000 | ||
| 24 October 1903 | Greenock Morton | A | 3–1 | 4,000 | Speedie, Walker, Robertson | |
| 31 October 1903 | Dundee | H | 6–1 | 10,300 | Walker (2), Hamilton (2), Mackie, Jeffrey (og) | |
| 7 November 1903 | Queen's Park | A | 3–2 | 16,000 | Speedie, Hamilton, Drummond | |
| 14 November 1903 | Hibernian | H | 1–1 | 8,000 | Hamilton | |
| 21 November 1903 | Dundee | A | 1–3 | 14,400 | Smith | |
| 28 November 1903 | Greenock Morton | A | 5–0 | 3,000 | Hamilton (2), Walker (2), Speedie | |
| 5 December 1903 | Kilmarnock | A | 2–2 | 3,000 | Smith, Unknown | |
| 12 December 1903 | Motherwell | H | 3–0 | 3,000 | Mackie (2), Hamilton | |
| 19 December 1903 | Port Glasgow | A | 1–1 | 4,000 | Mackie | |
| 26 December 1903 | Hibernian | A | 2–1 | 6,000 | Hamilton, Robertson | |
| 1 January 1904 | Celtic | A | 2–2 | 30,000 | Speedie, Mackie | |
| 2 January 1904 | Partick Thistle | H | 2–0 | 6,000 | Walker, Hamilton | |
| 9 January 1904 | St Mirren | A | 4–5 | Mackie (2), Hamilton (2) | ||
| 16 January 1904 | Kilmarnock | H | 3–0 | 4,000 | Mackie Hamilton, Donaghy | |
| 30 January 1904 | Heart of Midlothian | A | 1–2 | 12,000 | Mackie | |
| 13 February 1904 | Port Glasgow | H | 8–1 | 3,500 | Speedie (3), Hamilton (2), Smith, Campbell, Gibson | |
| 16 March 1904 | Airdrieonians | H | 5–0 | 6,000 | Mackie (2), Donaghy, Chalk, Stark |
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 23 January 1904 | R1 | Heart of Midlothian | H | 3–2 | 30,000 | Walker (2), Hamilton | |
| 6 February 1904 | R2 | Hibernian | A | 2–1 | 17,000 | Mackie, Walker | |
| 20 February 1904 | QF | St Mirren | A | 1–0 | 17,000 | Hamilton | |
| 5 March 1904 | SF | Greenock Morton | H | 3–0 | 10,000 | Walker (2), Hamilton | |
| 16 April 1904 | F | Celtic | N | 2–3 | 64,472 | Speedie (2) |
| Player | Position | Appearances | Goals | |
|---|---|---|---|---|
| Matthew Dickie | GK | 15 | 0 | |
| Nicol Smith | DF | 27 | 1 | |
| Alex Fraser | DF | 18 | 0 | |
| Neilly Gibson | MF | 17 | 1 | |
| James Stark | DF | 27 | 2 | |
| John Walker | FW | 26 | 16 | |
| Alec Mackie | FW | 28 | 13 | |
| Robert Hamilton | FW | 28 | 31 | |
| Finlay Speedie | FW | 28 | 12 | |
| Alec Smith | FW | 21 | 4 | |
| George Henderson | DF | 23 | 0 | |
| Jock Drummond | DF | 15 | 0 | |
| Angus McDonald | MF | 1 | 0 | |
| Jimmy Hartley | MF | 4 | 0 | |
| Duncan Campbell | DF | 4 | 1 | |
| Harry Dinsmore | MF | 1 | 0 | |
| John Watson | GK | 16 | 0 | |
| Robert Neil | DF | 5 | 0 | |
| Josiah Gray | MF | 1 | 0 | |
| Charles Chalk | MF | 4 | 1 | |
| MF | 2 | 0 | ||
| Charles Donaghy | FW | 6 | 2 | |
| Jock Finlay | FW | 1 | 0 |