| Match no. | Date of match | | Home | Score | Away | | Competition | Venue |
| 2893 | 13/8/1960 |  | Dunfermline Athletic | 5-2 | Airdrieonians |  | Scottish League Cup 1st round Group 3 | East End Park, Dunfermline |
| 2894 | 17/8/1960 |  | Hibernian | 3-0 | Dunfermline Athletic | | Scottish League Cup 1st round Group 3 | Easter Road, Edinburgh |
| 2895 | 20/8/1960 | | Hibernian | 6-1 | Airdrieonians | | Scottish League Cup 1st round Group 3 | Easter Road, Edinburgh |
| 2896 | 24/8/1960 |  | Dundee United | 3-1 | Hibernian | | Scottish League Division One | Tannadice Park, Dundee |
| 2897 | 27/8/1960 | | Dundee United | 0-3 | Stirling Albion |  | Scottish League Cup 1st round Group 8 | Tannadice Park, Dundee |
| 2898 | 29/8/1960 |  | St Johnstone | 4-1 | Stirling Albion | | Dewar Shield final | Muirton Park, Perth |
| 2899 | 31/8/1960 | | St Johnstone | 2-2 | Arbroath |  | Scottish League Cup 1st round Group 6 | Muirton Park, Perth |
| 2900 | 3/9/1960 | | St Johnstone | 7-1 | Falkirk |  | Scottish League Cup 1st round Group 6 | Muirton Park, Perth |
| 2901 | 10/9/1960 | | St Johnstone | 0-2 | Dundee United | | Scottish League Division One | Muirton Park, Perth |
| 2902 | 17/9/1960 | | Dundee United | 3-1 | Dundee |  | Scottish League Division One | Tannadice Park, Dundee |
| 2903 | 24/9/1960 |  | Partick Thistle | 1-0 | Dundee United | | Scottish League Division One | Firhill, Glasgow |
| 2904 | 26/9/1960 | | Partick Thistle | 2-0 | Celtic |  | Glasgow Cup final | 3rd Hampden Park, Glasgow |
| 2905 | 1/10/1960 | | Partick Thistle | 3-1 | Hibernian | | Scottish League Division One | Firhill, Glasgow |
| 2906 | 8/10/1960 |  | Heart of Midlothian | 0-1 | Partick Thistle | | Scottish League Division One | Tynecastle Park, Edinburgh |
| 2907 | 15/10/1960 |  | St Mirren | 5-0 | Partick Thistle | | Scottish League Division One | Love Street, Paisley |
| 2908 | 22/10/1960 | | St Mirren | 1-2 | Dundee | | Scottish League Division One | Love Street, Paisley |
| 2910 | 29/10/1960 | | Dunfermline Athletic | 4-2 | Dundee | | Scottish League Division One | East End Park, Dunfermline |
| 2911 | 2/11/1960 |  | East Fife | 0-2 | Dunfermline Athletic | | Fife Cup semi-final | Bayview, Methil |
| 2912 | 5/11/1960 | | Partick Thistle | 1-0 | Dunfermline Athletic | | Scottish League Division One | Firhill, Glasgow |
| 2913 | 12/11/1960 | | Celtic | 0-1 | Partick Thistle | | Scottish League Division One | 2nd Celtic Park, Glasgow |
| 2914 | 19/11/1960 | | Partick Thistle | 2-2 | Airdrieonians | | Scottish League Division One | Firhill, Glasgow |
| 2915 | 26/11/1960 | | Dundee | 1-2 | Partick Thistle | | Scottish League Division One | Dens Park, Dundee |
| 2916 | 3/12/1960 |  | Raith Rovers | 1-3 | Partick Thistle | | Scottish League Division One | Stark's Park, Kirkcaldy |
| 2917 | 10/12/1960 | | Partick Thistle | 2-1 | Third Lanark |  | Scottish League Division One | Firhill, Glasgow |
| 2918 | 17/12/1960 |  | Aberdeen | 2-1 | Partick Thistle | | Scottish League Division One | Pittodrie, Aberdeen |
| 2919 | 24/12/1960 | | St Mirren | 1-3 | Aberdeen | | Scottish League Division One | Love Street, Paisley |
| 2920 | 31/12/1960 | | Dunfermline Athletic | 2-6 | Aberdeen | | Scottish League Division One | East End Park, Dunfermline |
| 2921 | 2/1/1961 | | Aberdeen | 2-1 | Dundee | | Scottish League Division One | Pittodrie, Aberdeen |
| 2922 | 7/1/1961 | | St Johnstone | 2-1 | Aberdeen | | Scottish League Division One | Muirton Park, Perth |
| 2923 | 14/1/1961 |  | Rangers | 1-0 | St Johnstone | | Scottish League Division One | 2nd Ibrox Park, Glasgow |
| 2924 | 21/1/1961 | | Rangers | 4-3 | Third Lanark | | Scottish League Division One | 2nd Ibrox Park, Glasgow |
| 2925 | 28/1/1961 | | St Mirren | 1-1 | Rangers | | Scottish League Division One | Love Street, Paisley |
| 2926 | 8/2/1961 | | Dundee | 4-2 | Rangers | | Scottish League Division One | Dens Park, Dundee |
| 2927 | 11/2/1961 | | Dundee | 1-5 | Rangers | | Scottish FA Cup 2nd round | Dens Park, Dundee |
| 2928 | 18/2/1961 | | Dunfermline Athletic | 0-0 | Rangers | | Scottish League Division One | East End Park, Dunfermline |
| 2929 | 25/2/1961 |  | Motherwell | 2-2 | Rangers | | Scottish FA Cup 3rd round | Fir Park, Motherwell |
| 2930 | 1/3/1961 | | Rangers | 2-5 | Motherwell | | Scottish FA Cup 3rd round replay | 2nd Ibrox Park, Glasgow |
| 2931 | 4/3/1961 | | Heart of Midlothian | 1-5 | Motherwell | | Scottish League Division One | Tynecastle Park, Edinburgh |
| 2932 | 7/3/1961 | | Motherwell | 4-3 | Dundee United | | Scottish League Division One | Fir Park, Motherwell |
| 2933 | 11/3/1961 | | Motherwell | 0-1 | Airdrieonians | | Scottish FA Cup 4th round | Fir Park, Motherwell |
| 2934 | 15/3/1961 |  | Kilmarnock | 1-0 | Airdrieonians | | Scottish League Division One | Rugby Park, Kilmarnock |
| 2935 | 18/3/1961 | | Heart of Midlothian | 0-1 | Kilmarnock | | Scottish League Division One | Tynecastle Park, Edinburgh |
| 2936 | 25/3/1961 | | Kilmarnock | 1-1 | Dundee United | | Scottish League Division One | Rugby Park, Kilmarnock |
| 2937 | 1/4/1961 | | Kilmarnock | 2-0 | Rangers | | Scottish League Division One | Rugby Park, Kilmarnock |
| 2938 | 8/4/1961 | | Motherwell | 1-3 | Kilmarnock | | Scottish League Division One | Fir Park, Motherwell |
| 2939 | 19/4/1961 | | Kilmarnock | 0-3 | Ayr United |  | Ayrshire Cup | Rugby Park, Kilmarnock |
| 2940 | 22/4/1961 | | Ayr United | 3-0 | Dundee United | | Scottish League Division One | Somerset Park, Ayr |
| 2941 | 29/4/1961 | | Rangers | 7-3 | Ayr United | | Scottish League Division One | 2nd Ibrox Park, Glasgow |
| 2942 | 12/8/1961 | | Third Lanark | 0-2 | Rangers | | Scottish League Cup 1st round Group 3 | 2nd Cathkin Park, Glasgow |
| 2943 | 16/8/1961 | | Rangers | 4-2 | Dundee | | Scottish League Cup 1st round Group 3 | 2nd Ibrox Park, Glasgow |
| 2944 | 19/8/1961 | | Airdrieonians | 1-2 | Rangers | | Scottish League Cup 1st round Group 3 | Broomfield Park, Airdrie |
| 2945 | 23/8/1961 | | Rangers | 3-0 | Hibernian | | Scottish League Division One | 2nd Ibrox Park, Glasgow |
| 2946 | 26/8/1961 | | Rangers | 5-0 | Third Lanark | | Scottish League Cup 1st round Group 3 | 2nd Ibrox Park, Glasgow |
| 2947 | 30/8/1961 | | Dundee | 1-1 | Rangers | | Scottish League Cup 1st round Group 3 | Dens Park, Dundee |
| 2948 | 2/9/1961 | | Rangers | 4-1 | Airdrieonians | | Scottish League Cup 1st round Group 3 | 2nd Ibrox Park, Glasgow |
| 2949 | 9/9/1961 | | Partick Thistle | 1-4 | Rangers | | Scottish League Division One | Firhill, Glasgow |
| 2950 | 13/9/1961 | | Rangers | 3-1 | East Fife | | Scottish League Cup quarter-final 1st leg | 2nd Ibrox Park, Glasgow |
| 2951 | 16/9/1961 | | Rangers | 2-2 | Celtic | | Scottish League Division One | 2nd Ibrox Park, Glasgow |
| 2952 | 20/9/1961 | | East Fife | 1-3 | Rangers | | Scottish League Cup quarter-final 2nd leg | Bayview, Methil |
| 2953 | 23/9/1961 | | St Mirren | 1-1 | Rangers | | Scottish League Division One | Love Street, Paisley |
| 2954 | 30/9/1961 | | Rangers | 4-1 | Stirling Albion | | Scottish League Division One | 2nd Ibrox Park, Glasgow |
| 2955 | 11/10/1961 | | Rangers | 3-2 (aet) | St Johnstone | | Scottish League Cup semi-final | 3rd Hampden Park, Glasgow |
| 2956 | 14/10/1961 | | Rangers | 6-0 | Raith Rovers | | Scottish League Division One | 2nd Ibrox Park, Glasgow |
| 2957 | 21/10/1961 | | Motherwell | 2-2 | Rangers | | Scottish League Division One | Fir Park, Motherwell |
| 2958 | 28/10/1961 | | Rangers | 1-1 (aet) | Heart of Midlothian | | Scottish League Cup final | 3rd Hampden Park, Glasgow |
| 2959 | 4/11/1961 | | Third Lanark | 0-3 | Rangers | | Scottish League Divison One | 2nd Cathkin Park, Glasgow |
| 2960 | 11/11/1961 | | Rangers | 1-5 | Dundee | | Scottish League Division One | 2nd Ibrox Park, Glasgow |
| 2961 | 18/11/1961 | | Dundee | 5-4 | Raith Rovers | | Scottish League Division One | Dens Park, Dundee |
| 2962 | 25/11/1961 | | Hibernian | 1-3 | Dundee | | Scottish League Division One | Easter Road, Edinburgh |
| 2963 | 2/12/1961 | | Dundee | 2-2 | Stirling Albion | | Scottish League Division One | Dens Park, Dundee |
| 2964 | 16/12/1961 | | Dundee | 5-1 | Airdrieonians | | Scottish League Division One | Dens Park, Dundee |
| 2965 | 23/12/1961 | | St Mirren | 1-1 | Dundee | | Scottish League Division One | Love Street, Paisley |
| 2966 | 6/1/1962 | | Dundee | 2-1 | Falkirk | | Scottish League Division One | Dens Park, Dundee |
| 2967 | 13/1/1962 | | Heart of Midlothian | 0-2 | Dundee | | Scottish League Division One | Tynecastle Park, Edinburgh |
| 2968 | 17/1/1962 | | Dundee | 2-1 | Aberdeen | | Scottish League Division One | Dens Park, Dundee |
| 2969 | 20/1/1962 | | Dundee | 2-1 | Third Lanark | | Scottish League Division One | Dens Park, Dundee |
| 2970 | 24/1/1962 | | Dundee | 2-1 | St Johnstone | | Scottish League Division One | Dens Park, Dundee |
| 2971 | 27/1/1962 | | Dundee | 0-1 | St Mirren | | Scottish FA Cup 2nd round | Dens Park, Dundee |
| 2972 | 3/2/1962 | | Aberdeen | 3-1 | St Mirren | | Scottish League Division One | Pittodrie, Aberdeen |
| 2973 | 10/2/1962 | | Heart of Midlothian | 1-1 | Aberdeen | | Scottish League Division One | Tynecastle Park, Edinburgh |
| 2974 | 17/2/1962 | | Aberdeen | 2-2 | Rangers | | Scottish FA Cup 3rd round | Pittodrie, Aberdeen |
| 2975 | 21/2/1962 | | Rangers | 5-1 | Aberdeen | | Scottish FA Cup 3rd round replay | 2nd Ibrox Park, Glasgow |
| 2976 | 24/2/1962 | | Heart of Midlothian | 0-1 | Rangers | | Scottish League Division One | Tynecastle Park, Edinburgh |
| 2977 | 28/2/1962 | | Rangers | 2-1 | Motherwell | | Scottish League Division One | 2nd Ibrox Park, Glasgow |
| 2978 | 3/3/1962 | | Rangers | 3-1 | Third Lanark | | Scottish League Division One | 2nd Ibrox Park, Glasgow |
| 2979 | 10/3/1962 | | Kilmarnock | 2-4 | Rangers | | Scottish FA Cup 4th round | Rugby Park, Kilmarnock |
| 2980 | 14/3/1962 | | Dundee | 0-0 | Rangers | | Scottish League Division One | Dens Park, Dundee |
| 2981 | 17/3/1962 | | Falkirk | 1-7 | Rangers | | Scottish League Division One | Brockville Park, Falkirk |
| 2982 | 24/3/1962 | | Rangers | 0-1 | Dundee United | | Scottish League Division One | 2nd Ibrox Park, Glasgow |
| 2983 | 31/3/1962 | | Dundee United | 4-1 | Falkirk | | Scottish League Division One | Tannadice Park, Dundee |
| 2984 | 7/4/1962 | | Dundee United | 2-2 | Aberdeen | | Scottish League Division One | Tannadice Park, Dundee |
| 2985 | 9/4/1962 | | Dundee United | 1-2 | Dundee | | Scottish League Division One | Tannadice Park, Dundee |
| 2986 | 25/4/1962 | | Dundee | 2-0 | St Mirren | | Scottish League Division One | Dens Park, Dundee |
| 2987 | 28/4/1962 | | St Johnstone | 0-3 | Dundee | | Scottish League Division One | Muirton Park, Perth |
| 2988 | | | | | | | | |
