Date | Versus | Competition | H/A | Score | Teams |
|
| 20/08/83 | Motherwell | League | Home | 4-0 | TBC | |
| 03/09/83 | Dundee | League | Away | 4-1 | TBC | |
| 10/09/83 | Hibernian | League | Home | 5-0 | TBC | |
| 17/09/83 | St Johnstone | League | Away | 2-1 | TBC | |
| 24/09/83 | Aberdeen | League | Away | 2-1 | TBC | |
| 01/10/83 | Rangers | League | Home | 0-2 | TBC | |
| 08/10/83 | Celtic | League | Home | 2-1 | TBC | |
| 22/10/83 | Hearts | League | Home | 1-0 | TBC | |
| 29/10/83 | Motherwell | League | Away | 2-2 | TBC | |
| 05/11/83 | Dundee | League | Home | 0-1 | TBC | |
| 12/11/83 | St Johnstone | League | Home | 7-0 | TBC | |
| 19/11/83 | Rangers | League | Away | 0-0 | TBC | |
| 22/11/83 | St Mirren | League | Away | 0-4 | TBC | |
| 26/11/83 | Aberdeen | League | Home | 0-2 | TBC | |
| 03/12/83 | Hibernian | League | Home | 2-0 | TBC | |
| 10/12/83 | Hearts | League | Away | 0-0 | TBC | |
| 31/12/83 | Motherwell | League | Home | 2-1 | TBC | |
| 07/01/83 | St Johnstone | League | Away | 2-1 | TBC | |
| 11/02/84 | Hibernian | League | Home | 2-0 | TBC | |
| 25/02/84 | St Mirren | League | Away | 2-2 | TBC | |
| 03/03/84 | Celtic | League | Home | 3-1 | TBC | |
| 11/03/84 | Hearts | League | Home | 3-1 | TBC | |
| 31/03/84 | Hearts | League | Away | 0-0 | TBC | |
| 02/04/84 | Dundee | League | Away | 5-2 | TBC | |
| 07/04/84 | Hibernian | League | Away | 0-1 | TBC | |
| 14/04/84 | St Johnstone | League | Home | 3-0 | TBC | |
| 18/04/84 | Aberdeen | League | Away | 1-5 | TBC | |
| 21/04/84 | Dundee | League | Home | 1-1 | TBC | |
| 28/04/84 | Motherwell | League | Away | 3-1 | TBC | |
| 02/05/84 | Rangers | League | Away | 2-2 | TBC | |
| 05/05/84 | St Mirren | League | Home | 2-2 | TBC | |
| 07/05/84 | Aberdeen | League | Home | 0-0 | TBC | |
| 12/05/84 | Celtic | League | Away | 1-1 | TBC | |
| 14/05/84 | Rangers | League | Home | 1-2 | TBC | |
| 06/02/84 | Ayr United | Scottish Cup | Home | 1-0 | TBC | |
| 18/02/84 | Hearts | Scottish Cup | Home | 2-1 | TBC | |
| 17/03/84 | Aberdeen | Scottish Cup | Away | 0-0 | TBC | |
| 28/03/84 | Aberdeen | Scottish Cup | Home | 0-1 | TBC | |
| 24/08/83 | Dunfermline Athletic | League Cup | Home | 6-1 | TBC | |
| 27/08/83 | Dunfermline Athletic | League Cup | Away | 2-0 | TBC | |
| 30/08/83 | Alloa Athletic | League Cup | Home | 5-0 | TBC | |
| 07/09/83 | Morton | League Cup | Away | 1-1 | TBC | |
| 05/10/83 | Motherwell | League Cup | Home | 4-2 | TBC | |
| 26/10/83 | Morton | League Cup | Home | 3-0 | TBC | |
| 09/11/83 | Alloa Athletic | League Cup | Away | 4-2 | TBC | |
| 14/02/84 | Rangers | League Cup | Home | 1-1 | TBC | |
| 22/02/84 | Rangers | League Cup | Away | 0-2 | TBC | |
| 14/09/83 | Hamrun Spartans | European Cup | Away | 3-0 | TBC | |
| 19/10/83 | Standard Liege | European Cup | Away | 0-0 | TBC | |
| 02/11/83 | Standard Liege | European Cup | Home | 4-0 | TBC | |
| 07/03/84 | SK Rapid | European Cup | Away | 1-2 | TBC | |
| 21/03/84 | SK Rapid | European Cup | Home | 1-0 | TBC | |
| 11/04/84 | AS Roma | European Cup | Home | 2-0 | TBC | |
| 25/04/84 | AS Roma | European Cup | Away | 0-3 | TBC | |
| 06/08/83 | Reo Espanol | Friendly | Away | 2-0 | TBC | |
| 07/08/83 | America de Rio | Friendly | Away | 1-2 | TBC | |
| 13/08/83 | West Ham United | Friendly | Home | 4-0 | TBC | |
| 04/12/83 | Tayside Junior XI | Friendly | Away | 2-4 | TBC | |
| 30/07/83 | Arbroath | Forfarshire Cup | Home | 2-0 | TBC | |
| 02/08/83 | Forfar Athletic | Forfarshire Cup | Away | 1-1 AET | TBC | |
| 17/08/83 | Tottenham Hotspur | Testimonial | Home | 1-1 | TBC |
| TOP SCORERS | ||
| Rangers |  | 97 |
| Aberdeen | | 87 |
| Celtic | | 68 |
