| Club: | Heart of Midlothian |
| Season: | 1880–81 |
| Cup1 Result: | 5th Round |
| Prevseason: | 1879–80 |
| Nextseason: | 1881–82 |
Season 1880–81 was the sixth season in which Heart of Midlothian competed at a Scottish national level, entering the Scottish Cup for the sixth time.
Hearts reached the fifth round of the Scottish Cup losing to Arthurlie.[1]
Hearts reached the third round of the Edinburgh FA Cup losing to city rival Hibs.[2] On the way Hearts recorded their biggest known victory against Anchor winning 21–0.[3]
See main article: 1880–81 Scottish Cup.
See main article: East of Scotland Shield.