Date | Versus | Competition | H/A | Score | Teams |
|
| 11/08/84 | Hearts | League | Home | 2-0 | TBC | |
| 18/08/84 | Celtic | League | Away | 1-1 | TBC | |
| 25/08/84 | Aberdeen | League | Home | 0-2 | TBC | |
| 01/09/84 | St Mirren | League | Away | 0-1 | TBC | |
| 08/09/84 | Dundee | League | Home | 3-4 | TBC | |
| 15/09/84 | Morton | League | Away | 3-0 | TBC | |
| 22/09/84 | Hibernian | League | Home | 2-1 | TBC | |
| 20/10/84 | Celtic | League | Home | 1-3 | TBC | |
| 03/11/84 | St Mirren | League | Home | 3-2 | TBC | |
| 10/11/84 | Dundee | League | Away | 2-0 | TBC | |
| 17/11/84 | Morton | League | Home | 7-0 | TBC | |
| 24/11/84 | Hibernian | League | Away | 0-0 | TBC | |
| 01/12/84 | Rangers | League | Home | 1-1 | TBC | |
| 08/12/84 | Dumbarton | League | Away | 2-2 | TBC | |
| 15/12/84 | Hearts | League | Home | 5-2 | TBC | |
| 22/12/84 | Aberdeen | League | Away | 1-0 | TBC | |
| 29/12/84 | Celtic | League | Away | 2-1 | TBC | |
| 02/01/85 | Aberdeen | League | Home | 2-1 | TBC | |
| 05/01/85 | St Mirren | League | Away | 0-1 | TBC | |
| 02/02/85 | Hibernian | League | Home | 2-0 | TBC | |
| 09/02/85 | Rangers | League | Away | 0-0 | TBC | |
| 23/02/85 | Dumbarton | League | Home | 4-0 | TBC | |
| 02/03/85 | Celtic | League | Home | 0-0 | TBC | |
| 13/03/85 | Morton | League | Away | 3-0 | TBC | |
| 16/03/85 | Hearts | League | Away | 1-0 | TBC | |
| 23/03/85 | St Mirren | League | Home | 3-1 | TBC | |
| 03/04/85 | Dundee | League | Home | 4-0 | TBC | |
| 06/04/85 | Morton | League | Home | 5-0 | TBC | |
| 11/05/85 | Dundee | League | Away | 0-1 | TBC | |
| 04/02/85 | Hibernian | Scottish Cup | Home | 3-0 | TBC | |
| 16/02/85 | Queen Of The South | Scottish Cup | Away | 3-0 | TBC | |
| 09/03/85 | St Mirren | Scottish Cup | Away | 4-1 | TBC | |
| 13/04/85 | Aberdeen | Scottish Cup | Away | 0-0 | TBC | |
| 17/04/85 | Aberdeen | Scottish Cup | Away | 2-1 | TBC | |
| 18/05/85 | Celtic | Scottish Cup | Away | 1-2 | TBC | |
| 21/08/84 | Forfar Athletic | League Cup | Home | 5-0 | TBC | |
| 29/08/84 | Dumbarton | League Cup | Away | 4-0 | TBC | |
| 05/09/84 | Celtic | League Cup | Home | 2-1 | TBC | |
| 26/09/84 | Hearts | League Cup | Away | 2-1 | TBC | |
| 28/10/84 | Rangers | League Cup | Away | 0-1 | TBC | |
| 19/09/84 | AIK Stockholm | UEFA Cup | Away | 0-1 | TBC | |
| 03/10/84 | AIK Stockholm | UEFA Cup | Home | 3-0 | TBC | |
| 24/10/84 | Linz ASK | UEFA Cup | Away | 2-1 | TBC | |
| 07/11/84 | Linz ASK | UEFA Cup | Home | 5-1 | TBC | |
| 28/11/84 | Manchester United | UEFA Cup | Away | 2-2 | TBC | |
| 12/12/84 | Manchester United | UEFA Cup | Home | 2-3 | TBC | |
| 22/07/84 | VIK Aschaffenburg | Friendly | Away | 0-4 | TBC | |
| 27/07/84 | Rot Weiss Essen | Friendly | Away | 1-1 | TBC | |
| 29/07/84 | FSV Salmrohr | Friendly | Away | 0-1 | TBC | |
| 01/08/84 | FC Koln | Friendly | Away | 2-1 | TBC | |
| 03/08/84 | SW Weil | Friendly | Away | 4-3 | TBC | |
| 04/08/84 | Winterhur | Friendly | Away | 0-0 | TBC | |
| 14/08/84 | Brechin City | Forfarshire Cup | Home | 4-1 AET | TBC | |
| 08/08/84 | Nottingham Forest | Testimonial | Home | 2-0 | TBC |
| TOP SCORERS | ||
| Aberdeen |  | 89 |
| Celtic | | 77 |
| Dundee United | | 67 |
