1959–60 FA Cup Third round proper Third round proper

| Tie_no | Home_team | Score | Away_team | Date_ |
|---|---|---|---|---|
| Replay | Wolverhampton Wanderers | 4–2 | Newcastle United | 13 January 1960 |
| 21 | Manchester City | 1–5 | Southampton | 9 January 1960 |
| 22 | Fulham | 5–0 | Hull City | 9 January 1960 |
| 23 | Bristol Rovers | 0–0 | Doncaster Rovers | 9 January 1960 |
| Replay | Doncaster Rovers | 1–2 | Bristol Rovers | 12 January 1960 |
| 24 | Bradford City | 3–0 | Everton | 9 January 1960 |
| 25 | Chelsea | 5–1 | Bradford Park Avenue | 9 January 1960 |
| 26 | Exeter City | 1–2 | Luton Town | 9 January 1960 |
| 27 | Scunthorpe United | 1–0 | Crystal Palace | 9 January 1960 |
| 28 | Huddersfield Town | 1–1 | West Ham United | 9 January 1960 |
| Replay | West Ham United | 1–5 | Huddersfield Town | 13 January 1960 |
| 29 | Cardiff City | 0–2 | Port Vale | 9 January 1960 |