| Club: | Hibernian |
| Season: | 1886–87 |
| Cup1: | Scottish Cup |
| Cup1 Result: | Winners |
| Prevseason: | 1885–86 |
| Nextseason: | 1887–88 |
Season 1886–87 was the 11th season in which Hibernian competed at a Scottish national level, entering the Scottish Cup for the 10th time.
Hibs reached the final of the Scottish Cup, winning 3–1 to the Dumbarton at Hampden Park.
All results are written with Hibs' score first.
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 11 September 1886 | R1 | Durhamstown Rangers | H | 5–1 | |||
| 2 October 1886 | R2 | Mossend Swifts | A | 1–1 | |||
| 9 October 1886 | R2 R | Mossend Swifts | H | 1–1 | 2,500 | ||
| 23 October 1886 | R3 | Heart of Midlothian | H | 5–1 | 7,000 | ||
| 6 November 1886 | R4 | bye into Round 5 | |||||
| 4 December 1886 | R5 | Queen of the South Wanderers | H | 7–3 | |||
| 25 December 1886 | R6 | Third Lanarkshire Rifle Volunteers | A | 2–1 | 5,000 | ||
| 22 January 1887 | SF | Vale of Leven | H | 3–1 | 6,000 | ||
| 12 February 1887 | F | Dumbarton | A | 3–1 | 15,000 |