Date | Versus | Competition | H/A | Score | Teams |
|
| 09/08/80 | Kilmarnock | League | Home | 2-2 | TBC | |
| 16/08/80 | Aberdeen | League | Away | 1-1 | TBC | |
| 23/08/80 | Morton | League | Home | 1-1 | TBC | |
| 06/09/80 | Rangers | League | Home | 2-4 | TBC | |
| 20/09/80 | St Mirren | League | Away | 0-2 | TBC | |
| 27/09/80 | Hearts | League | Home | 1-1 | TBC | |
| 04/10/80 | Celtic | League | Away | 0-2 | TBC | |
| 11/10/80 | Partick Thistle | League | Home | 0-0 | TBC | |
| 18/10/80 | Kilmarnock | League | Away | 1-0 | TBC | |
| 25/10/80 | Aberdeen | League | Home | 1-3 | TBC | |
| 01/11/80 | Morton | League | Away | 2-0 | TBC | |
| 08/11/80 | Hearts | League | Away | 3-0 | TBC | |
| 15/11/80 | St Mirren | League | Home | 2-0 | TBC | |
| 29/11/80 | Celtic | League | Home | 0-3 | TBC | |
| 13/12/80 | Airdrie | League | Home | 1-0 | TBC | |
| 20/12/80 | St Mirren | League | Away | 3-3 | TBC | |
| 27/12/80 | Hearts | League | Home | 4-1 | TBC | |
| 30/12/80 | Aberdeen | League | Away | 1-1 | TBC | |
| 03/01/81 | Kilmarnock | League | Home | 7-0 | TBC | |
| 10/01/81 | Celtic | League | Away | 1-2 | TBC | |
| 31/01/81 | Airdrie | League | Away | 5-0 | TBC | |
| 07/02/81 | Rangers | League | Home | 2-1 | TBC | |
| 21/02/81 | Morton | League | Home | 1-0 | TBC | |
| 28/02/81 | Kilmarnock | League | Away | 1-0 | TBC | |
| 14/03/81 | Partick Thistle | League | Away | 2-0 | TBC | |
| 18/03/81 | Rangers | League | Away | 4-1 | TBC | |
| 21/03/81 | St Mirren | League | Home | 1-2 | TBC | |
| 28/03/81 | Hearts | League | Away | 4-0 | TBC | |
| 04/04/81 | Rangers | League | Away | 1-2 | TBC | |
| 18/04/81 | Morton | League | Away | 0-2 | TBC | |
| 29/04/81 | Airdrie | League | Home | 4-1 | TBC | |
| 02/05/81 | Partick Thistle | League | Home | 3-2 | TBC | |
| 24/01/81 | Brechin City | Scottish Cup | Away | 2-1 | TBC | |
| 14/02/81 | Partick Thistle | Scottish Cup | Home | 1-0 | TBC | |
| 07/03/81 | Motherwell | Scottish Cup | Home | 6-1 | TBC | |
| 11/04/81 | Celtic | Scottish Cup | Away | 0-0 | TBC | |
| 15/04/81 | Celtic | Scottish Cup | Away | 3-2 | TBC | |
| 09/05/81 | Rangers | Scottish Cup | Away | 0-0 AET | TBC | |
| 12/05/81 | Rangers | Scottish Cup | Away | 1-4 | TBC | |
| 13/08/80 | East Fife | League Cup | Away | 5-2 | TBC | |
| 20/08/80 | East Fife | League Cup | Home | 4-0 | TBC | |
| 27/08/80 | Cowdenbeath | League Cup | Home | 4-0 | TBC | |
| 30/08/80 | Cowdenbeath | League Cup | Away | 4-1 | TBC | |
| 03/09/80 | Motherwell | League Cup | Away | 1-2 | TBC | |
| 24/09/80 | Motherwell | League Cup | Home | 4-2 AET | TBC | |
| 08/10/80 | Clydebank | League Cup | Away | 1-2 | TBC | |
| 29/10/80 | Clydebank | League Cup | Home | 4-1 | TBC | |
| 12/11/80 | Celtic | League Cup | Home | 1-1 | TBC | |
| 19/11/80 | Celtic | League Cup | Away | 3-0 | TBC | |
| 06/12/80 | Dundee | League Cup | Away | 3-0 | TBC | |
| 17/09/80 | Slask Wroclaw | UEFA Cup | Away | 0-0 | TBC | |
| 01/10/80 | Slask Wroclaw | UEFA Cup | Home | 7-2 | TBC | |
| 22/10/80 | KSC Lokern | UEFA Cup | Home | 1-1 | TBC | |
| 05/11/80 | KSC Lokern | UEFA Cup | Away | 0-0 | TBC | |
| 28/07/80 | Forfar Athletic | Forfarshire Cup | Away | 3-2 | TBC | |
| 30/07/80 | Chelsea | Friendly | Home | 0-0 | TBC | |
| 02/08/80 | West Ham United | Friendly | Home | 0-1 | TBC | |
| 05/08/80 | Tottenham Hotspur | Friendly | Home | 4-1 | TBC |
| TOP SCORERS | ||
| Celtic |  | 84 |
| Dundee United | | 66 |
| Aberdeen | | 61 |
