1959–60 FA Cup Third round proper Third round proper

| Tie_no | Home_team | Score | Away_team | Date_ |
|---|---|---|---|---|
| 30 | Newport County | 0–4 | Tottenham Hotspur | 9 January 1960 |
| 31 | Stoke City | 1–1 | Preston North End | 9 January 1960 |
| Replay | Preston North End | 3–1 | Stoke City | 12 January 1960 |
| 32 | Rotherham United | 2–2 | Arsenal | 9 January 1960 |
| Replay | Arsenal | 1–1 | Rotherham United | 13 January 1960 |
| Replay | Rotherham United | 2–0 | Arsenal | 18 January 1960 |