| Club: | Hibernian |
| Season: | 1879–80 |
| League: | None |
| Cup1: | Scottish Cup |
| Cup1 Result: | QF |
| Prevseason: | 1878–79 |
| Nextseason: | 1880–81 |
Season 1879–80 was the third in which Hibernian competed at a Scottish national level, entering the Scottish Cup for the third time.
Hibs reached the quarter-final of the Scottish Cup, losing 6–2 to Dumbarton.
Hibs defeated Edinburgh derby rivals Hearts in the third round, in a match played at Mayfield Park, in the Mayfield area of Edinburgh.[1]
All results are written with Hibs' score first.
| Date | Round | Opponent | Venue | Result | Attendance | Scorers | |
|---|---|---|---|---|---|---|---|
| 20 September 1879 | R1 | Hanover | H | 5–1 | Cox, Donnelly (3), Lee | ||
| 11 October 1879 | R2 | Dunfermline | H | 4–0 | |||
| 15 November 1879 | R3 | Hearts | H | 2–1 | 2500 | Byrne, Cavanagh | |
| 22 November 1879 | R4 | Parkgrove | H | 2–2 | |||
| 29 November 1879 | R4R | Parkgrove | A | 2–2 | |||
| 20 December 1879 | R5 | Mauchline | A | 2–0 | Quinn (2) | ||
| 3 January 1880 | QF | Dumbarton | A | 2–6 | 2000 | Rourke (2) |