Manager: Scot Symon
Home: Ibrox Stadium
Division One Winners: Kilmarnock
Scottish Cup Winners: Celtic
League Cup Winners: Rangers
Match Results
| Round | Competition | Date | Venue | Outcome | Opponents | For | Agt | Crowd | ||
| Section 1 | League Cup | Aug | 8 | Sat | H | W | Aberdeen | 4 | 0 | 45,000 |
| Section 1 | League Cup | 12 | Wed | a | D | St Mirren | 0 | 0 | 21,000 | |
| Section 1 | League Cup | 15 | Sat | a | W | St Johnstone | 9 | 1 | 15,000 | |
| Division 1 | 19 | Wed | H | D | Dunfermline | 0 | 0 | 30,000 | ||
| Section 1 | League Cup | 22 | Sat | a | W | Aberdeen | 4 | 3 | 30,000 | |
| Section 1 | League Cup | 26 | Wed | H | W | St Mirren | 6 | 2 | 35,000 | |
| Section 1 | League Cup | 29 | Sat | H | W | St Johnstone | 3 | 1 | 28,000 | |
| 1st | European Cup | Sep | 2 | Wed | H | W | Red Star Belgrade | 3 | 1 | 77,669 |
| Division 1 | 5 | Sat | a | L | Celtic | 1 | 3 | 58,000 | ||
| 1st | European Cup | 9 | Wed | a | L | Red Star Belgrade | 2 | 4 | 42,939 | |
| Division 1 | 12 | Sat | H | D | Partick Thistle | 1 | 1 | 35,000 | ||
| Quarter | League Cup | 14 | Mon | a | W | Dunfermline | 3 | 0 | 20,000 | |
| Quarter | League Cup | 16 | Wed | H | D | Dunfermline | 2 | 2 | 30,000 | |
| Division 1 | 19 | Sat | a | L | Dundee | 1 | 4 | 28,700 | ||
| Division 1 | 26 | Sat | H | W | Airdrie | 9 | 2 | 30000 | ||
| Semi | League Cup | 30 | Wed | n | W | Dundee Utd | 2 | 1 | 39,584 | |
| Division 1 | Oct | 7 | Wed | a | W | St Johnstone | 1 | 0 | ||
| Division 1 | 10 | Sat | H | L | Hibs | 2 | 4 | 40,000 | ||
| Division 1 | 17 | Sat | a | D | Hearts | 1 | 1 | 35,000 | ||
| Final | League Cup | 24 | Sat | n | W | Celtic | 2 | 1 | 91,423 | |
| Division 1 | 27 | Tue | a | W | St Mirren | 7 | 0 | 15,000 | ||
| Division 1 | 31 | Sat | H | W | Clyde | 6 | 1 | 35,000 | ||
| Decider | European Cup | Nov | 4 | Wed | n | W | Red Star Belgrade | 3 | 1 | 34,428 |
| Division 1 | 7 | Sat | H | D | Aberdeen | 2 | 2 | 40,000 | ||
| Division 1 | 14 | Sat | a | D | Kilmarnock | 1 | 1 | 32,021 | ||
| 2nd | European Cup | 18 | Wed | H | W | Rapid Vienna | 1 | 0 | 50,788 | |
| Division 1 | 21 | Sat | H | W | Motherwell | 1 | 0 | 33,000 | ||
| Division 1 | 28 | Sat | a | W | Falkirk | 5 | 0 | 14,000 | ||
| 2nd | European Cup | Dec | 8 | Tue | a | W | Rapid Vienna | 2 | 0 | 69,272 |
| Division 1 | 12 | Sat | a | W | Dundee Utd | 3 | 1 | 25,000 | ||
| Division 1 | 19 | Sat | H | W | Third Lanark | 5 | 0 | 22,000 | ||
| Division 1 | Jan | 1 | Fri | H | W | Celtic | 1 | 0 | 64,400 | |
| Division 1 | 2 | Sat | a | D | Partick Thistle | 1 | 1 | 28,700 | ||
| Division 1 | 9 | Sat | H | W | Dundee | 4 | 0 | 30,000 | ||
| Division 1 | 16 | Sat | a | W | Airdrie | 4 | 0 | 18,000 | ||
| Division 1 | 30 | Sat | a | L | Hibs | 0 | 1 | 44,300 | ||
| 1st | Scottish Cup | Feb | 6 | Sat | H | W | Hamilton Acas | 3 | 0 | 22,184 |
| Division 1 | 13 | Sat | H | D | Hearts | 1 | 1 | 50,000 | ||
| Quarter | European Cup | 17 | Wed | a | L | Inter Milan | 1 | 3 | 49,520 | |
| 2nd | Scottish Cup | 20 | Sat | a | W | Dundee Utd | 2 | 0 | 23,000 | |
| Division 1 | 27 | Sat | H | W | St Mirren | 1 | 0 | 30,000 | ||
| Quarter | European Cup | Mar | 3 | Wed | H | W | Inter Milan | 1 | 0 | 78,872 |
| Quarter | Scottish Cup | 6 | Sat | a | L | Hibs | 1 | 2 | 47,363 | |
| Division 1 | 10 | Wed | a | W | Clyde | 3 | 0 | 18,000 | ||
| Division 1 | 13 | Sat | a | L | Aberdeen | 0 | 2 | 25,000 | ||
| Division 1 | 20 | Sat | H | D | Kilmarnock | 1 | 1 | 30,574 | ||
| Division 1 | 24 | Wed | H | W | St Johnstone | 2 | 1 | 5,800 | ||
| Division 1 | 30 | Tue | H | L | Morton | 0 | 1 | 25,000 | ||
| Division 1 | Apr | 3 | Sat | H | W | Falkirk | 6 | 1 | 14,000 | |
| Division 1 | 7 | Wed | a | W | Morton | 3 | 1 | 18,000 | ||
| Division 1 | 14 | Wed | a | L | Dunfermline | 1 | 3 | 16,000 | ||
| Division 1 | 17 | Sat | H | L | Dundee Utd | 0 | 1 | 15,000 | ||
| Division 1 | 21 | Wed | a | W | Motherwell | 3 | 1 | 10,000 | ||
| Division 1 | 23 | Fri | a | W | Third Lanark | 1 | 0 | 5,000 |
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