Manager: Jock Wallace
Home: Ibrox Stadium
Division One Winners: Celtic
Scottish Cup Winners: Celtic
League Cup Winners: Dundee
Match Results
| Round | Competition | Date | Venue | Outcome | Opponents | For | Agt | Crowd | ||
| Section 1 | League Cup | Aug | 11 | Sat | H | W | Falkirk | 3 | 1 | 35,000 |
| Section 1 | League Cup | 15 | Wed | a | W | Arbroath | 2 | 1 | 6,677 | |
| Section 1 | League Cup | 18 | Sat | H | L | Celtic | 1 | 2 | 63,173 | |
| Section 1 | League Cup | 22 | Wed | H | W | Arbroath | 3 | 0 | 14,000 | |
| Section 1 | League Cup | 25 | Sat | a | W | Celtic | 3 | 1 | 65,000 | |
| Section 1 | League Cup | 29 | Wed | a | W | Falkirk | 5 | 1 | 12,000 | |
| Division 1 | Sep | 1 | Sat | H | D | Ayr Utd | 0 | 0 | 30,000 | |
| Division 1 | 8 | Sat | a | W | Partick Thistle | 1 | 0 | 22,000 | ||
| 1st | League Cup | 12 | Wed | H | W | Dumbarton | 6 | 0 | 25,000 | |
| Division 1 | 15 | Sat | H | L | Celtic | 0 | 1 | 70,000 | ||
| 1st | European Cup-Winners Cup | 19 | Wed | a | W | Ankaragúcú | 2 | 0 | 35,000 | |
| Division 1 | 29 | Sat | H | L | Hearts | 0 | 3 | 35,000 | ||
| 1st | European Cup-Winners Cup | Oct | 3 | Wed | H | W | Ankaragúcú | 4 | 0 | 30,000 |
| Division 1 | 6 | Sat | a | W | Arbroath | 2 | 1 | 7,710 | ||
| 2nd | League Cup | 10 | Wed | a | W | Dumbarton | 2 | 1 | 6,000 | |
| Division 1 | 13 | Sat | H | L | East Fife | 0 | 1 | 25,000 | ||
| Division 1 | 20 | Sat | a | W | Dundee Utd | 3 | 1 | 11,000 | ||
| 2nd | European Cup-Winners Cup | 24 | Wed | a | L | Borussia Moenchengladbach | 0 | 3 | 35,000 | |
| Division 1 | 27 | Sat | H | W | Hibs | 4 | 0 | 35,000 | ||
| Quarter | League Cup | 31 | Wed | H | W | Hibs | 2 | 0 | 35,000 | |
| Division 1 | Nov | 3 | Sat | a | D | Dunfermline | 2 | 2 | 20,000 | |
| 2nd | European Cup-Winners Cup | 7 | Wed | H | W | Borussia Moenchengladbach | 3 | 2 | 40,000 | |
| Division 1 | 10 | Sat | H | W | Morton | 1 | 0 | 20,000 | ||
| Division 1 | 17 | Sat | H | W | Falkirk | 2 | 1 | 15,000 | ||
| Quarter | League Cup | 21 | Wed | a | D | Hibs | 0 | 0 | 19,245 | |
| Division 1 | 24 | Sat | a | W | Clyde | 2 | 0 | 15,000 | ||
| Semi | League Cup | Dec | 5 | Wed | n | L | Celtic | 1 | 3 | 54,864 |
| Division 1 | 15 | Sat | H | W | St Johnstone | 5 | 1 | 8,200 | ||
| Division 1 | 22 | Sat | a | W | Dumbarton | 2 | 0 | 7,500 | ||
| Division 1 | 29 | Sat | a | W | Ayr Utd | 1 | 0 | 17,000 | ||
| Division 1 | Jan | 1 | Tue | H | D | Partick Thistle | 1 | 1 | 20,000 | |
| Division 1 | 5 | Sat | a | L | Celtic | 0 | 1 | 55,000 | ||
| Division 1 | 12 | Sat | H | D | Aberdeen | 1 | 1 | 16,000 | ||
| Division 1 | 19 | Sat | a | W | Hearts | 4 | 2 | 25,000 | ||
| 3rd | Scottish Cup | 26 | Sat | H | W | Queen's Park | 8 | 0 | 19,000 | |
| Division 1 | Feb | 2 | Sat | H | L | Arbroath | 2 | 3 | 22,000 | |
| Division 1 | 9 | Sat | a | W | East Fife | 3 | 0 | 8,499 | ||
| 4th | Scottish Cup | 17 | Sun | H | L | Dundee | 0 | 3 | 64,672 | |
| Division 1 | 24 | Sun | H | W | Dundee Utd | 3 | 1 | 15,500 | ||
| Division 1 | Mar | 2 | Sat | a | L | Hibs | 1 | 3 | 23,149 | |
| Division 1 | 16 | Sat | a | W | Morton | 3 | 2 | 9,000 | ||
| Division 1 | 23 | Sat | a | D | Falkirk | 0 | 0 | 10,000 | ||
| Division 1 | 30 | Sat | H | W | Clyde | 4 | 0 | 15,000 | ||
| Division 1 | Apr | 2 | Tue | H | W | Dunfermline | 3 | 0 | 12,000 | |
| Division 1 | 6 | Sat | a | W | Motherwell | 4 | 1 | 13,346 | ||
| Division 1 | 13 | Sat | H | L | Dundee | 1 | 2 | 25,000 | ||
| Division 1 | 17 | Wed | a | D | Aberdeen | 1 | 1 | 18,000 | ||
| Division 1 | 20 | Sat | a | W | St Johnstone | 3 | 1 | 7,500 | ||
| Division 1 | 24 | Wed | H | W | Motherwell | 2 | 1 | 10,000 | ||
| Division 1 | 27 | Sat | H | W | Dumbarton | 3 | 1 | 20,000 | ||
| Division 1 | 29 | Mon | a | W | Dundee | 3 | 2 | 10,578 |
Trivia
Celtic won nine league titles in a row this season.
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