Date | Versus | Competition | H/A | Score | Teams |
|
| 11/08/79 | Dundee | League | Home | 3-0 | TBC | |
| 18/08/79 | Kilmarnock | League | Away | 0-1 | TBC | |
| 25/08/79 | Aberdeen | League | Home | 1-3 | TBC | |
| 08/09/79 | Celtic | League | Away | 2-2 | TBC | |
| 15/09/79 | St Mirren | League | Away | 2-3 | TBC | |
| 22/09/79 | Partick Thistle | League | Home | 2-1 | TBC | |
| 29/09/79 | Morton | League | Away | 1-4 | TBC | |
| 06/10/79 | Rangers | League | Home | 0-0 | TBC | |
| 20/10/79 | Dundee | League | Away | 0-1 | TBC | |
| 27/10/79 | Kilmarnock | League | Home | 4-0 | TBC | |
| 03/11/79 | Aberdeen | League | Away | 3-0 | TBC | |
| 10/11/79 | Celtic | League | Home | 0-1 | TBC | |
| 17/11/79 | St Mirren | League | Home | 0-0 | TBC | |
| 28/11/79 | Partick Thistle | League | Away | 1-1 | TBC | |
| 15/12/79 | Rangers | League | Away | 1-2 | TBC | |
| 22/12/79 | Dundee | League | Home | 2-0 | TBC | |
| 29/12/79 | Kilmarnock | League | Away | 0-0 | TBC | |
| 05/10/80 | Celtic | League | Away | 0-1 | TBC | |
| 12/01/80 | St Mirren | League | Away | 1-2 | TBC | |
| 23/02/80 | Hibernian | League | Home | 1-0 | TBC | |
| 01/03/80 | Dundee | League | Away | 1-1 | TBC | |
| 08/03/80 | Kilmarnock | League | Home | 0-0 | TBC | |
| 12/03/80 | Partick Thistle | League | Home | 0-0 | TBC | |
| 15/03/80 | Aberdeen | League | Away | 1-2 | TBC | |
| 19/03/80 | Rangers | League | Home | 0-0 | TBC | |
| 29/03/80 | St Mirren | League | Home | 0-0 | TBC | |
| 02/04/80 | Hibernian | League | Away | 2-0 | TBC | |
| 05/04/80 | Partick Thistle | League | Away | 2-2 | TBC | |
| 08/04/80 | Celtic | League | Home | 3-0 | TBC | |
| 12/04/80 | Morton | League | Home | 2-0 | TBC | |
| 19/04/80 | Hibernian | League | Away | 2-0 | TBC | |
| 23/04/80 | Morton | League | Home | 2-0 | TBC | |
| 26/04/80 | Rangers | League | Away | 1-2 | TBC | |
| 29/04/80 | Aberdeen | League | Home | 1-1 | TBC | |
| 01/05/80 | Morton | League | Away | 0-0 | TBC | |
| 16/02/80 | Rangers | Scottish Cup | Away | 0-1 | TBC | |
| 29/08/79 | Airdrie | League Cup | Away | 1-2 | TBC | |
| 01/09/79 | Airdrie | League Cup | Home | 2-0 | TBC | |
| 26/09/79 | Queens Park | League Cup | Away | 3-0 | TBC | |
| 26/09/79 | Queens Park | League Cup | Home | 2-1 | TBC | |
| 10/10/79 | Raith Rovers | League Cup | Home | 0-0 | TBC | |
| 31/10/79 | Raith Rovers | League Cup | Away | 1-0 | TBC | |
| 14/11/79 | Hamilton Academical | League Cup | Away | 6-2 | TBC | |
| 24/11/79 | Aberdeen | League Cup | Away | 0-0 | TBC | |
| 08/12/79 | Aberdeen | League Cup | Away | 3-0 | TBC | |
| 12/12/79 | Anderlecht | UEFA Cup | Home | 0-0 | TBC | |
| 19/09/79 | Anderlecht | UEFA Cup | Away | 1-1 | TBC | |
| 02/10/79 | Diosgyori VTK | UEFA Cup | Home | 0-1 | TBC | |
| 24/10/79 | Diosgyori VTK | UEFA Cup | Away | 1-3 | TBC | |
| 07/11/79 | Dunfermline Athletic | Drybrough Cup | Home | 3-0 | TBC | |
| 28/07/79 | Celtic | Drybrough Cup | Away | 2-3 AET | TBC | |
| 01/08/79 | Aston Villa | Friendly | Home | 3-0 | TBC | |
| 05/08/79 | Tottenham Hotspur | Friendly | Home | 3-2 | TBC | |
| 11/02/80 | Hamilton Academical | Friendly | Away | 1-3 | TBC |
| TOP SCORERS | ||
| Aberdeen |  | 68 |
| Celtic | | 61 |
| St Mirren | | 56 |
