Manager: Bill Struth
Home: Ibrox Stadium
Division One Winners: Rangers
Scottish Cup Winners: Rangers
Match Results
| Round | Competition | Date | Venue | Outcome | Opponents | For | Agt | Crowd | |||
| Division 1 | Aug | 11 | Sat | a | W | Dunfermline | 7 | 1 | 14,000 | ||
| Division 1 | 18 | Sat | H | W | Motherwell | 1 | 0 | 51,000 | |||
| Division 1 | 22 | Wed | H | W | Hearts | 2 | 1 | 30,000 | |||
| Division 1 | 25 | Sat | a | L | Dundee | 2 | 3 | 19,000 | |||
| Division 1 | Sep | 1 | Sat | H | W | Partick Thistle | 4 | 0 | 20,000 | ||
|
4 | Tue | a | W | Kilmarnock | 3 | 1 | 13,000 | |||
| Division 1 | 8 | Sat | a | D | Celtic | 1 | 1 | 40,000 | |||
| Division 1 | 15 | Sat | H | W | Ayr Utd | 2 | 0 | 10,000 | |||
| Division 1 | 22 | Sat | a | W | St Mirren | 2 | 0 | 10,000 | |||
| Division 1 | 29 | Sat | H | W | Hibs | 4 | 2 | 10,000 | |||
| Division 1 | 6 | Sat | a | W | Airdrie | 2 | 1 | 10,000 | |||
| Division 1 | 20 | Sat | a | L | Clyde | 1 | 2 | 30,000 | |||
| Division 1 | 27 | Sat | a | W | Queen of the South | 3 | 2 | 12,100 | |||
| Division 1 | Nov | 3 | Sat | H | W | St Johnstone | 3 | 1 | 20,000 | ||
| Division 1 | 10 | Sat | a | W | Albion Rovers | 5 | 1 | ||||
| Division 1 | 17 | Sat | H | D | Aberdeen | 2 | 2 | 18,000 | |||
| Division 1 | 24 | Sat | a | W | Queen's Park | 4 | 0 | 16,000 | |||
| Division 1 | Dec | 1 | Sat | H | D | Hamilton Acas | 1 | 1 | 14,000 | ||
| Division 1 | 8 | Sat | a | L | Hearts | 1 | 4 | 35,000 | |||
| Division 1 | 15 | Sat | H | L | Kilmarnock | 2 | 3 | 18,000 | |||
| Division 1 | 22 | Sat | H | W | Dunfermline | 8 | 1 | 7,000 | |||
| Division 1 | 25 | Tue | H | W | Falkirk | 1 | 0 | 10,000 | |||
| Division 1 | 29 | Sat | a | D | Motherwell | 2 | 2 | 25,000 | |||
| Division 1 | Jan | 1 | Tue | H | W | Celtic | 2 | 1 | 83,000 | ||
| Division 1 | 2 | Wed | a | L | Partick Thistle | 0 | 1 | 32,000 | |||
| Division 1 | 5 | Sat | H | W | Dundee | 3 | 1 | 16,000 | |||
| Division 1 | 12 | Sat | a | W | Ayr Utd | 4 | 2 | 12,000 | |||
| Division 1 | 19 | Sat | H | W | St Mirren | 1 | 0 | ||||
| 1st | Scottish Cup | 26 | Sat | H | W | Cowdenbeath | 3 | 1 | 16,000 | ||
| Division 1 | Feb | 2 | Sat | a | W | Hibs | 2 | 1 | 23,000 | ||
| 2nd | Scottish Cup | 9 | Sat | H | W | Third Lanark | 2 | 0 | 25,000 | ||
| Division 1 | 16 | Sat | H | W | Airdrie | 3 | 1 | 10,000 | |||
| 3rd | Scottish Cup | 23 | Sat | H | W | St Mirren | 1 | 0 | 42,000 | ||
| Division 1 | Mar | 2 | Sat | a | W | Falkirk | 3 | 0 | 15,000 | ||
| Quarter | Scottish Cup | 9 | Sat | a | W | Motherwell | 4 | 1 | 29,777 | ||
| Division 1 | 16 | Sat | H | W | Queen of the South | 5 | 0 | 10,000 | |||
| Division 1 | 20 | Wed | H | W | Clyde | 4 | 2 | 5,000 | |||
| Division 1 | 23 | Sat | a | L | St Johnstone | 0 | 2 | 11,700 | |||
| Semi | Scottish Cup | 30 | Sat | n | D | Hearts | 1 | 1 | 102,661 | ||
| Replay | Scottish Cup | Apr | 10 | Wed | n | W | Hearts | 2 | 0 | 90,428 | |
| Division 1 | 13 | Sat | a | W | Aberdeen | 3 | 1 | 17,000 | |||
| Final | Scottish Cup | 20 | Sat | n | W | Hamilton Acas | 2 | 1 | 87,740 | ||
| Division 1 | 24 | Wed | H | D | Albion Rovers | 2 | 2 | 8,000 | |||
| Division 1 | 27 | Sat | a | L | Hamilton Acas | 1 | 2 | 9,000 | |||
| Division 1 | 30 | Tue | H | L | Queen's Park | 0 | 1 | 6,000 |
