| Club: | Hibernian |
| Season: | 1885–86 |
| Cup1: | Scottish Cup |
| Cup1 Result: | Winners |
| Prevseason: | 1884–85 |
| Nextseason: | 1886–87 |
Season 1885–86 was the 10th season in which Hibernian competed at a Scottish national level, entering the Scottish Cup for the 9th time.
Hibs reached the semi – final of the Scottish Cup, losing 2–0 to Renton
All results are written with Hibs' score first.
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 5 September 1885 | R1 | Edina | H | 9–0 | |||
| 3 October 1885 | R2 | Heart of Midlothian | H | 2–1 | 4,000 | ||
| 24 October 1885 | R3 | Bo'ness | H | 6–0 | 2,000 | ||
| 14 November 1885 | R4 | Arbroath | H | 5–3 | |||
| 5 December 1885 | R5 | Dumbarton | A | 2–2 | 2,000 | ||
| 12 December 1885 | R5 R | Dumbarton | H | 4–3 | 5,500 | ||
| 16 January 1886 | R6 | Cambuslang | H | 3–2 | 4,000 | ||
| 23 January 1886 | SF | Renton | H | 0–2 | 5,000 |