| Club: | Rangers |
| Season: | 1883–84 |
| Mgrtitle: | Match Secretary |
| Manager: | John Wallace MacKay |
| Stdtitle: | Ground |
| Stadium: | Kinning Park |
| Chrtitle: | President |
| Cup1: | Scottish Cup |
| Cup1 Result: | Semi-finalists |
| Leftarm1: | 0000ff |
| Body1: | 0000ff |
| Rightarm1: | 0000ff |
| Socks1: | 000000 |
| Prevseason: | 1882–83 |
| Nextseason: | 1884–85 |
The 1883–84 season was the tenth season of competitive football by Rangers.
Rangers played a total matches during the 1883–84 season.
All results are written with Rangers' score first.
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 8 September 1883 | R1 | Northern | A | 1–0 | |||
| 29 September 1883 | R2 | Whitehill | H | 14–2 | |||
| 20 October 1883 | R3 | Falkirk | H | 5–2 | 2,000 | ||
| 10 November 1883 | R4 | Dunblane | A | 1–6 | |||
| 1 December 1883 | R5 | St Bernard's | A | 3–0 | 2,000 | ||
| 22 December 1883 | R6 | Cambuslang | A | 1–5 | |||
| 19 January 1884 | SF | Vale of Leven | A | 0–3 | 7,000 |