Manager: Bill Struth
Home: Ibrox Stadium
Division One Winners: Rangers
Scottish Cup Winners: Celtic
Match Results
| Round | Competition | Date | Venue | Outcome | Opponents | For | Agt | Crowd | ||
| Division 1 | Aug | 8 | Sat | a | D | Dundee | 0 | 0 | 22,000 | |
| Division 1 | 15 | Sat | H | W | Third Lanark | 3 | 1 | 16,000 | ||
| Division 1 | 19 | Wed | H | W | Dundee | 3 | 0 | 12,000 | ||
| Division 1 | 22 | Sat | a | W | Falkirk | 2 | 0 | 22,000 | ||
| Division 1 | 29 | Sat | H | W | Hibs | 4 | 0 | 12,000 | ||
| Division 1 | Sep | 5 | Sat | a | D | Arbroath | 0 | 0 | 7,000 | |
| Division 1 | 9 | Wed | a | D | Third Lanark | 0 | 0 | 25,000 | ||
| Division 1 | 12 | Sat | H | W | Motherwell | 3 | 2 | 45,000 | ||
| Division 1 | 19 | Sat | a | D | Celtic | 1 | 1 | 60,000 | ||
| Division 1 | 26 | Sat | H | W | Dunfermline | 5 | 3 | 8,000 | ||
| Division 1 | Oct | 3 | Sat | a | W | St Mirren | 4 | 1 | 25,000 | |
| Division 1 | 17 | Sat | a | D | Queen's Park | 1 | 1 | 18,000 | ||
| Division 1 | 24 | Sat | H | D | Queen of the South | 1 | 1 | 5,000 | ||
| Division 1 | Nov | 7 | Sat | H | W | Aberdeen | 2 | 1 | 60,000 | |
| Division 1 | 14 | Sat | a | W | Kilmarnock | 2 | 1 | 15,000 | ||
| Division 1 | 21 | Sat | H | D | St Johnstone | 0 | 0 | 10,000 | ||
| Division 1 | 28 | Sat | a | W | Albion Rovers | 3 | 2 | |||
| Division 1 | Dec | 5 | Sat | a | L | Hearts | 2 | 5 | 40,000 | |
| Division 1 | 12 | Sat | H | W | Clyde | 2 | 0 | 10,000 | ||
| Division 1 | 19 | Sat | H | W | Falkirk | 3 | 0 | 10,000 | ||
| Division 1 | 26 | Sat | a | W | Hibs | 4 | 1 | 25,000 | ||
| Division 1 | Jan | 1 | Fri | H | W | Celtic | 1 | 0 | 95,000 | |
| Division 1 | 2 | Sat | a | W | Partick Thistle | 1 | 0 | 25,000 | ||
| Division 1 | 4 | Mon | H | L | Hearts | 0 | 1 | 31,000 | ||
| Division 1 | 9 | Sat | H | W | Arbroath | 4 | 0 | 14,000 | ||
| Division 1 | 16 | Sat | a | W | Motherwell | 4 | 1 | 22,000 | ||
| Division 1 | 23 | Sat | H | W | St Mirren | 2 | 0 | 16,000 | ||
| 1st | Scottish Cup | 30 | Sat | a | L | Queen of the South | 0 | 1 | 13,000 | |
| Division 1 | Feb | 6 | Sat | a | W | Dunfermline | 3 | 2 | 8,000 | |
| Division 1 | 20 | Sat | H | D | Queen's Park | 1 | 1 | 12,000 | ||
| Division 1 | 27 | Sat | H | W | Kilmarnock | 8 | 0 | 7,000 | ||
| Division 1 | Mar | 6 | Sat | a | W | Queen of the South | 1 | 0 | 11,000 | |
| Division 1 | 20 | Sat | a | D | Aberdeen | 1 | 1 | 30,000 | ||
| Division 1 | 24 | Wed | H | W | Hamilton Acas | 4 | 0 | 6,000 | ||
| Division 1 | 29 | Mon | H | W | Partick Thistle | 3 | 1 | 18,000 | ||
| Division 1 | Apr | 3 | Sat | a | W | St Johnstone | 2 | 1 | 8,000 | |
| Division 1 | 7 | Wed | a | W | Hamilton Acas | 5 | 1 | 5,000 | ||
| Division 1 | 10 | Sat | H | W | Albion Rovers | 1 | 0 | 5,000 | ||
| Division 1 | 23 | Fri | a | L | Clyde | 2 | 3 | 9,000 |
