Date | Versus | Competition | H/A | Score | Teams |
|
| 12/08/78 | Hibernian | League | Home | 0-0 | TBC | |
| 19/08/78 | Partick Thistle | League | Away | 1-1 | TBC | |
| 26/08/78 | Aberdeen | League | Home | 1-1 | TBC | |
| 09/09/78 | Morton | League | Home | 1-2 | TBC | |
| 16/09/78 | Motherwell | League | Away | 1-0 | TBC | |
| 23/09/78 | St Mirren | League | Away | 3-1 | TBC | |
| 30/09/78 | Hearts | League | Home | 3-1 | TBC | |
| 07/10/78 | Rangers | League | Away | 1-1 | TBC | |
| 14/10/78 | Celtic | League | Home | 1-0 | TBC | |
| 21/10/78 | Hibernian | League | Away | 1-1 | TBC | |
| 28/10/78 | Partick Thistle | League | Home | 2-0 | TBC | |
| 04/11/78 | Aberdeen | League | Away | 0-1 | TBC | |
| 11/11/78 | Morton | League | Away | 1-3 | TBC | |
| 18/11/78 | Motherwell | League | Home | 2-1 | TBC | |
| 25/11/78 | St Mirren | League | Home | 1-1 | TBC | |
| 09/12/78 | Rangers | League | Home | 3-0 | TBC | |
| 16/12/78 | Celtic | League | Away | 1-1 | TBC | |
| 23/12/78 | Hibernian | League | Home | 2-1 | TBC | |
| 20/01/79 | St Mirren | League | Away | 1-2 | TBC | |
| 10/02/79 | Rangers | League | Away | 0-1 | TBC | |
| 03/03/79 | Hibernian | League | Away | 0-1 | TBC | |
| 07/03/79 | Motherwell | League | Away | 4-0 | TBC | |
| 10/03/79 | Morton | League | Home | 4-1 | TBC | |
| 14/03/79 | Partick Thistle | League | Home | 2-1 | TBC | |
| 17/03/79 | Aberdeen | League | Away | 2-0 | TBC | |
| 24/03/79 | Morton | League | Away | 1-3 | TBC | |
| 28/03/79 | Partick Thistle | League | Away | 2-1 | TBC | |
| 31/03/79 | Motherwell | League | Home | 2-1 | TBC | |
| 04/04/79 | Hearts | League | Away | 0-2 | TBC | |
| 07/04/79 | St Mirren | League | Home | 2-0 | TBC | |
| 11/04/79 | Celtic | League | Home | 2-1 | TBC | |
| 14/04/79 | Hearts | League | Away | 3-0 | TBC | |
| 21/04/79 | Rangers | League | Home | 1-2 | TBC | |
| 25/04/79 | Hearts | League | Home | 2-1 | TBC | |
| 28/04/79 | Celtic | League | Away | 1-2 | TBC | |
| 05/05/79 | Aberdeen | League | Home | 2-2 | TBC | |
| 26/02/79 | St Mirren | Scottish Cup | Home | 0-2 | TBC | |
| 30/08/78 | Celtic | League Cup | Home | 2-3 | TBC | |
| 02/09/78 | Celtic | League Cup | Away | 0-1 | TBC | |
| 12/09/78 | Standard Liege | UEFA Cup | Away | 0-1 | TBC | |
| 27/09/78 | Standard Liege | UEFA Cup | Home | 0-0 | TBC | |
| 07/08/78 | Montrose | Forfarshire Cup | Home | 1-0 | TBC | |
| 22/08/78 | Forfar Athletic | Forfarshire Cup | Home | 1-0 | TBC | |
| 14/05/79 | Dundee | Forfarshire Cup | Home | 2-2 AET | TBC | |
| 29/07/78 | Raith Rovers | Friendly | Away | 3-0 | TBC | |
| 31/07/78 | East Fife | Friendly | Away | 0-1 | TBC | |
| 03/08/78 | Queen Of The South | Friendly | Away | 2-1 | TBC | |
| 05/08/78 | Port Vale | Friendly | Away | 1-0 | TBC | |
| 09/01/79 | Raith Rovers | Friendly | Away | 3-1 | TBC | |
| 03/02/79 | Arbroath | Friendly | Away | 3-0 | TBC |
| TOP SCORERS | ||
| Celtic |  | 61 |
| Aberdeen | | 59 |
| Dundee United | | 56 |
