All results are written with Rangers' score first.
Scottish League Division One
More information Date, Opponent ...
| 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 |
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Scottish Cup
More information Date, Round ...
| 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 | 50,000 | Speedie (2)[1] |
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