1959–60 FA Cup Third round proper Third round proper

| Tie_no | Home_team | Score | Away_team | Date_ |
|---|---|---|---|---|
| 11 | Sheffield Wednesday | 2–1 | Middlesbrough | 9 January 1960 |
| 12 | Crewe Alexandra | 2–0 | Workington | 9 January 1960 |
| 13 | West Bromwich Albion | 3–2 | Plymouth Argyle | 9 January 1960 |
| 14 | Sunderland | 1–1 | Blackburn Rovers | 9 January 1960 |
| Replay | Blackburn Rovers | 4–1 | Sunderland | 13 January 1960 |
| 15 | Derby County | 2–4 | Manchester United | 9 January 1960 |
| 16 | Lincoln City | 1–1 | Burnley | 9 January 1960 |
| Replay | Burnley | 2–0 | Lincoln City | 12 January 1960 |
| 17 | Wrexham | 1–2 | Leicester City | 9 January 1960 |
| 18 | Sheffield United | 3–0 | Portsmouth | 9 January 1960 |
| 19 | Ipswich Town | 2–3 | Peterborough United | 9 January 1960 |
| 20 | Newcastle United | 2–2 | Wolverhampton Wanderers | 9 January 1960 |