During the 1920–21 season Hearts competed in the Scottish Football League, the Scottish Cup and the East of Scotland Shield.
| 1920–21 season | |
|---|---|
| Manager |  Willie McCartney |
| Stadium | Tynecastle Park |
| Scottish Football League | 3rd |
| Scottish Cup | Semi-final |
| Top goalscorer | League: All: |
Fixtures
editScottish Cup
edit| 5 February 1921 Scottish Cup R2 | Hearts | 0–0 | Clyde | Tynecastle Park |
| Attendance: 26,000 |
| 9 February 1921 Scottish Cup R2 Replay | Clyde | 1–1 | Hearts | Shawfield Stadium |
| Attendance: 22,000 |
| 16 February 1921 Scottish Cup R2 2nd Replay | Clyde | 2–3 | Hearts | Shawfield Stadium |
| Attendance: 20,000 |
| 19 February 1921 Scottish Cup R3 | Hamilton Academical | 0–1 | Hearts | Douglas Park |
| Attendance: 20,890 |
| 5 March 1921 Scottish Cup R4 | Celtic | 1–2 | Hearts | Celtic Park |
| Attendance: 37,000 |
| 26 March 1921 Scottish Cup SF | Hearts | 0–0 | Partick Thistle | Ibrox Park |
| Attendance: 63,700 |
| 30 March 1921 Scottish Cup SF Replay | Hearts | 0–0 | Partick Thistle | Ibrox Park |
| Attendance: 27,000 |
| 5 April 1921 Scottish Cup SF 2nd Replay | Hearts | 0–2 | Partick Thistle | Ibrox Park |
| Attendance: 33,000 |
Scottish Football League
edit| 21 August 1920 Scottish First Division | Clyde | 2–1 | Hearts | Shawfield Stadium |
| Attendance: 10,000 |
| 23 August 1920 Scottish First Division | Albion Rovers | 1–1 | Hearts | Cliftonhill |
| Attendance: 5,000 |
| 28 August 1920 Scottish First Division | Hearts | 5–1 | Hibernian | Tynecastle Park |
| Attendance: 27,500 |
| 4 September 1920 Scottish First Division | Morton | 1–1 | Hearts | Cappielow Park |
| Attendance: 10,000 |
| 8 September 1920 Scottish First Division | Hearts | 4–1 | Ayr United | Tynecastle Park |
| Attendance: 12,000 |
| 11 September 1920 Scottish First Division | Hearts | 2–0 | Clydebank | Tynecastle Park |
| Attendance: 21,000 |
| 14 September 1920 Scottish First Division | Clydebank | 1–2 | Hearts | Clydeholm Park |
| Attendance: 5,000 |
| 18 September 1920 Scottish First Division | Ayr United | 0–0 | Hearts | Somerset Park |
| Attendance: 7,000 |
| 20 September 1920 Scottish First Division | Hearts | 0–4 | Rangers | Tynecastle Park |
| Attendance: 34,000 |
| 25 September 1920 Scottish First Division | Hearts | 2–0 | Raith Rovers | Tynecastle Park |
| Attendance: 20,000 |
| 2 October 1920 Scottish First Division | Hamilton Academical | 3–1 | Hearts | Douglas Park |
| Attendance: 7,000 |
| 4 October 1920 Scottish First Division | Dundee | 3–0 | Hearts | Dens Park |
| Attendance: 14,000 |
| 9 October 1920 Scottish First Division | Hearts | 1–1 | Albion Rovers | Tynecastle Park |
| Attendance: 16,500 |
| 16 October 1920 Scottish First Division | Queen's Park | 1–1 | Hearts | Hampden Park |
| Attendance: 7,000 |
| 23 October 1920 Scottish First Division | Hearts | 3–1 | Dundee | Tynecastle Park |
| Attendance: 19,500 |
| 30 October 1920 Scottish First Division | Hearts | 0–1 | Celtic | Tynecastle Park |
| Attendance: 36,500 |
| 6 November 1920 Scottish First Division | Airdrieonians | 0–1 | Hearts | Broomfield Park |
| Attendance: 6,000 |
| 13 November 1920 Scottish First Division | Hearts | 0–0 | Aberdeen | Tynecastle Park |
| Attendance: 13,500 |
| 20 November 1920 Scottish First Division | Queen's Park | 2–2 | Hearts | Brockville Park |
| Attendance: 5,000 |
| 27 November 1920 Scottish First Division | Hearts | 4–1 | Kilmarnock | Tynecastle Park |
| Attendance: 13,500 |
| 4 December 1920 Scottish First Division | Motherwell | 2–2 | Hearts | Fir Park |
| Attendance: 10,000 |
| 11 December 1920 Scottish First Division | Third Lanark | 3–0 | Hearts | Cathkin Park |
| Attendance: 6,000 |
| 18 December 1920 Scottish First Division | Hearts | 1–0 | St Mirren | Tynecastle Park |
| Attendance: 11,000 |
| 25 December 1920 Scottish First Division | Hearts | 6–2 | Dumbarton | Tynecastle Park |
| Attendance: 12,500 |
| 1 January 1921 Scottish First Division | Hibernian | 3–0 | Hearts | Easter Road |
| Attendance: 26,000 |
| 3 January 1921 Scottish First Division | Hearts | 0–2 | Falkirk | Tynecastle Park |
| Attendance: 19,500 |
| 8 January 1921 Scottish First Division | Hearts | 1–0 | Partick Thistle | Tynecastle Park |
| Attendance: 16,500 |
| 15 January 1921 Scottish First Division | Kilmarnock | 1–2 | Hearts | Rugby Park |
| Attendance: 7,000 |
| 22 January 1921 Scottish First Division | Partick Thistle | 0–0 | Hearts | Firhill Park |
| Attendance: 8,000 |
| 29 January 1921 Scottish First Division | Hearts | 0–1 | Morton | Tynecastle Park |
| Attendance: 18,500 |
| 12 February 1921 Scottish First Division | Hearts | 1–0 | Motherwell | Tynecastle Park |
| Attendance: 15,000 |
| 23 February 1921 Scottish First Division | Raith Rovers | 2–1 | Hearts | Stark's Park |
| Attendance: 6,000 |
| 26 February 1921 Scottish First Division | Hearts | 3–0 | Third Lanark | Tynecastle Park |
| Attendance: 13,000 |
| 12 March 1921 Scottish First Division | Hearts | 2–1 | Airdrieonians | Tynecastle Park |
| Attendance: 19,000 |
| 19 March 1921 Scottish First Division | Celtic | 3–2 | Hearts | Celtic Park |
| Attendance: 16,000 |
| 2 April 1921 Scottish First Division | Hearts | 6–0 | Clyde | Tynecastle Park |
| Attendance: 14,500 |
| 9 April 1921 Scottish First Division | Aberdeen | 5–2 | Hearts | Pittodrie Park |
| Attendance: 12,500 |
| 11 April 1921 Scottish First Division | Dumbarton | 0–3 | Hearts | Boghead Park |
| Attendance: 3,000 |
| 15 April 1921 Scottish First Division | St Mirren | 0–4 | Hearts | St Mirren Park, Love Street |
| Attendance: 3,000 |
| 23 April 1921 Scottish First Division | Hearts | 4–0 | Queen's Park | Tynecastle Park |
| Attendance: 12,500 |
| 27 April 1921 Scottish First Division | Rangers | 0–0 | Hearts | Ibrox Park |
| Attendance: 15,000 |
| 30 April 1921 Scottish First Division | Hearts | 3–0 | Hamilton Academical | Tynecastle Park |
| Attendance: 10,500 |