| Club: | Heart of Midlothian |
| Season: | 1875–76 |
| Cup1 Result: | Second Round |
| Nextseason: | 1876–77 |
Season 1875–76 was the first season in which Heart of Midlothian competed at a Scottish national level, entering the Scottish Cup for the first time.
Hearts entered the Scottish Cup for the first time reaching the second round.
Hearts received a boost by qualifying for the second round despite two no scoring draws against 3rd Edinburgh RV in the first round, as the laws of the competition at the time meant both teams qualified for the next ties. Hearts were knocked out 2–0 in the second round against Drumpellier.
See main article: 1875–76 Scottish Cup.
See main article: East of Scotland Shield.