| Club: | Heart of Midlothian |
| Season: | 1904–05 |
| Manager: | William Waugh |
| Stadium: | Tynecastle Park |
| League: | Scottish First Division |
| League Result: | 7th |
| Cup1 Result: | 2nd Round |
| League Topscorer: | |
| Season Topscorer: | |
| Prevseason: | 1903–04 |
| Nextseason: | 1905–06 |
During the 1904–05 season Hearts competed in the Scottish First Division, the Scottish Cup and the East of Scotland Shield.
See main article: 1904–05 Scottish Cup.
See main article: 1904–05 Scottish First Division.