1935–36 FAI Cup
The FAI Cup 1935-36 was the fifteenth edition of Ireland's premier cup competition, The Football Association of Ireland Challenge Cup or FAI Cup. The tournament began on 1 January 1936 and concluded on 19 April with the final held at Dalymount Park, Dublin. An official attendance of 30,946 people watched Shamrock Rovers claim their seventh title by defeating Cork.
First round
| Tie no | Home team | Score | Away team | Date |
| 1 | GSR | 1-4 | Reds United | 1 January 1936 |
| 2 | Bohemians | 7-0 | Waterford | 11 January 1936 |
| 3 | Cork | 2-2 | Bray Unknowns | 12 January 1936 |
| replay | Bray Unknowns | 1-6 | Cork | 15 January 1936 |
| 4 | Dolphin | 1-0 | Drumcondra | 12 January 1936 |
| refix | Dolphin | 3-6 | Drumcondra | 16 January 1936 |
| 5 | Dundalk | 7-1 | B&I | 12 January 1936 |
| 6 | Hospitals Trust | 2-5 | Sligo Rovers | 12 January 1936 |
| 7 | Shamrock Rovers | 1-1 | St James's Gate | 12 January 1936 |
| replay | St James's Gate | 1-2 | Shamrock Rovers | 15 January 1936 |
| 8 | Tramore Rookies | 1-5 | Brideville | 12 January 1936 |
Second round
| Tie no | Home team | Score | Away team | Date |
| 1 | Bohemians | 1-1 | Cork | 8 February 1936 |
| replay | Cork | 3-2 | Bohemians | 19 February 1936 |
| 2 | Dundalk | 2-1 | Reds United | 8 February 1936 |
| 3 | Drumcondra | 1-1 | Sligo Rovers | 9 February 1936 |
| replay | Sligo Rovers | 1-1 | Drumcondra | 12 February 1936 |
| replay | Drumcondra | 3-2 | Sligo Rovers | 19 February 1936 |
| 4 | Shamrock Rovers | 5-1 | Brideville | 9 February 1936 |
Semi-finals
----Replay
Final
| Winner of FAI Cup 1935-36 |
| Shamrock Rovers 7th Title |