1984–85 Manchester United F.C. season UEFA Cup UEFA Cup

| Date_ | Round | Opponents | H_A | Result_F_A | Scorers | Attendance_ |
|---|---|---|---|---|---|---|
| 19 September 1984 | Round 1 , First leg | Rába ETO Győr | H | 3–0 | Robson, Mühren, Hughes | 33119 |
| 3 October 1984 | Round 1 , Second leg | Rába ETO Győr | A | 2–2 | Brazil, Mühren (pen) | 26000 |
| 24 October 1984 | Round 2 , First leg | PSV Eindhoven | A | 0–0 |  | 27500 |
| 7 November 1984 | Round 2 , Second leg | PSV Eindhoven | H | 1–0 | Strachan (pen) | 39281 |
| 28 November 1984 | Round 3 , First leg | Dundee United | H | 2–2 | Strachan (pen), Robson | 48278 |
| 12 December 1984 | Round 3 , Second leg | Dundee United | A | 3–2 | Hughes, McGinnis (og), Mühren | 21821 |