| Match no. | Date | | Home | Score | Away | | Competition | Venue |
| 3900 | 9/8/1980 |  | Partick Thistle | 3-2 | Heart of Midlothian |  | Scottish Premier Division | Firhill, Glasgow |
| 3901 | 16/8/1980 |  | Rangers | 4-0 | Partick Thistle | | Scottish Premier Division | 2nd Ibrox Park, Glasgow |
| 3902 | 23/8/1980 |  | Celtic | 1-2 | Rangers | | Scottish Premier Division | 2nd Celtic Park, Glasgow |
| 3903 | 27/8/1980 |  | Forfar Athletic | 0-2 | Rangers | | Scottish Bell's League Cup 2nd round 1st leg | Station Park, Forfar |
| 3904 | 30/8/1980 | | Rangers | 3-1 | Forfar Athletic | | Scottish Bell's League Cup 2nd round 2nd leg | 2nd Ibrox Park, Glasgow |
| 3905 | 3/9/1980 | | Rangers | 1-0 | Aberdeen |  | Scottish Bell's League Cup 3rd round 1st leg | 2nd Ibrox Park, Glasgow |
| 3906 | 6/9/1980 |  | Dundee United | 2-4 | Rangers | | Scottish Premier Division | Tannadice Park, Dundee |
| 3907 | 13/9/1980 | | Rangers | 1-1 | Aberdeen | | Scottish Premier Division | 2nd Ibrox Park, Glasgow |
| 3908 | 20/9/1980 |  | Kilmarnock | 1-8 | Rangers | | Scottish Premier Division | Rugby Park, Kilmarnock |
| 3909 | 24/9/1980 | | Aberdeen | 3-1 | Rangers | | Scottish Bell's League Cup 3rd round 2nd leg | Pittodrie, Aberdeen |
| 3910 | 27/9/1980 | | Aberdeen | 2-2 | Celtic | | Scottish Premier Division | Pittodrie, Aberdeen |
| 3911 | 4/10/1980 | | Heart of Midlothian | 0-1 | Aberdeen | | Scottish Premier Division | Tynecastle Park, Edinburgh |
| 3912 | 8/10/1980 |  | Dundee | 0-0 | Aberdeen | | Scottish Bell's League Cup quarter-final 1st leg | Dens Park, Dundee |
| 3913 | 11/10/1980 | | Aberdeen | 2-0 | Kilmarnock | | Scottish Premier Divison | Pittodrie, Aberdeen |
| 3914 | 18/10/1980 | | Aberdeen | 3-2 | St Mirren |  | Scottish Premier Division | Pittodrie, Aberdeen |
| 3915 | 25/10/1980 | | Dundee United | 1-3 | Aberdeen | | Scottish Premier Division | Tannadice Park, Dundee |
| 3916 | 29/10/1980 | | Aberdeen | 0-1 | Dundee | | Scottish Bell's League Cup quarter-final 2nd leg | Pittodrie, Aberdeen |
| 3917 | 1/11/1980 | | Dundee | 2-1 | Clydebank |  | Scottish League First Division | Dens Park, Dundee |
| 3918 | 5/11/1980 |  | Ayr United | 1-1 | Dundee | | Scottish Bell's League Cup semi-final 1st leg | Somerset Park, Ayr |
| 3919 | 8/11/1980 | | Dundee | 2-1 | Motherwell |  | Scottish League First Division | Dens Park, Dundee |
| 3920 | 15/11/1980 |  | Falkirk | 0-3 | Dundee | | Scottish League First Division | Brockville Park, Falkirk |
| 3921 | 19/11/1980 | | Dundee | 3-2 | Ayr United | | Scottish Bell's League Cup semi-final 2nd leg | Dens Park, Dundee |
| 3922 | 22/11/1980 | | Dundee | 5-1 | Stirling Albion |  | Scottish League First Division | Dens Park, Dundee |
| 3923 | 29/11/1980 |  | Dumbarton | 1-2 | Dundee | | Scottish League First Division | Boghead Park, Dumbarton |
| 3924 | 6/12/1980 | | Dundee United | 3-0 | Dundee | | Scottish Bell's League Cup final | Dens Park, Dundee |
| 3925 | 13/12/1980 | | Dundee United | 1-0 | Airdrieonians |  | Scottish Premier Division | Tannadice Park, Dundee |
| 3926 | 20/12/1980 | | St Mirren | 3-3 | Dundee United | | Scottish Premier Division | Love Street, Paisley |
| 3927 | 27/12/1980 | | Dundee United | 4-1 | Heart of Midlothian | | Scottish Premier Division | Tannadice Park, Dundee |
| 3928 | 30/12/1980 | | Aberdeen | 1-1 | Dundee United | | Scottish Premier Division | Pittodrie, Aberdeen |
| 3929 | 3/1/1981 | | Dundee United | 7-0 | Kilmarnock | | Scottish Premier Division | Tannadice Park, Dundee |
| 3930 | 10/1/1981 | | Celtic | 2-1 | Dundee United | | Scottish Premier Division | 2nd Celtic Park, Glasgow |
| 3931 | 24/1/1981 |  | Berwick Rangers | 0-2 | Celtic | | Scottish Cup 3rd round | Shielfield Park, Berwick-upon-Tweed |
| 3932 | 31/1/1981 | | Heart of Midlothian | 0-3 | Celtic | | Scottish Premier Division | Tynecastle Park, Edinburgh |
| 3933 | 14/2/1981 | | Celtic | 3-0 | Stirling Albion | | Scottish Cup 4th round | 2nd Celtic Park, Glasgow |
| 3934 | 21/2/1981 | | Celtic | 3-1 | Rangers | | Scottish Premier Division | 2nd Celtic Park, Glasgow |
| 3935 | 28/2/1981 |  | Morton | 0-3 | Celtic | | Scottish Premier Division | Cappielow Park, Greenock |
| 3936 | 8/3/1981 | | Celtic | 2-0 | East Stirlingshire |  | Scottish Cup 5th round | 2nd Celtic Park, Glasgow |
| 3937 | 14/3/1981 | | Celtic | 7-0 | St Mirren | | Scottish Premier Division | 2nd Celtic Park, Glasgow |
| 3938 | 18/3/1981 | | Celtic | 4-1 | Partick Thistle | | Scottish Premier Division | 2nd Celtic Park, Glasgow |
| 3939 | 21/3/1981 | | Airdrieonians | 1-2 | Celtic | | Scottish Premier Division | Broomfield Park, Airdrie |
| 3940 | 28/3/1981 | | Celtic | 1-1 | Aberdeen | | Scottish Premier Division | 2nd Celtic Park, Glasgow |
| 3941 | 1/4/1981 | | Celtic | 6-0 | Heart of Midlothian | | Scottish Premier Division | 2nd Celtic Park, Glasgow |
| 3942 | 5/4/1981 | | Partick Thistle | 0-1 | Celtic | | Scottish Premier Division | Firhill, Glasgow |
| 3943 | 11/4/1981 | | Celtic | 0-0 | Dundee United | | Scottish Cup semi-final | 3rd Hampden Park, Glasgow |
| 3944 | 15/4/1981 | | Celtic | 2-3 | Dundee United | | Scottish cup semi-final replay | 3rd Hampden Park, Glasgow |
| 3945 | 18/4/1981 | | Morton | 2-0 | Dundee United | | Scottish Premier Division | Cappielow Park, Greenock |
| 3946 | 25/4/1981 | | St Mirren | 2-0 | Morton | | Scottish Premier Division | Love Street, Paisley |
| 3947 | 29/4/1981 | | St Mirren | 2-0 | Morton | | Renfrewshire Cup final 1st leg | Love Street, Paisley |
| 3948 | 2/5/1981 | | St Mirren | 3-1 | Celtic | | Scottish Premier Division | Love Street, Paisley |
| 3949 | 6/5/1981 | | Morton | 2-0 | St Mirren | | Renfrewshire Cup final 2nd leg | Cappielow Park, Greenock |
