Manager: Bill Struth
Home: Ibrox Stadium
Division One Winners: Rangers
Scottish Cup Winners: Airdrie
Match Results
| Round | Competition | Date | Venue | Outcome | Opponents | For | Agt | Crowd | ||
| Division 1 | Aug | 18 | Sat | a | W | Motherwell | 3 | 0 | 22,000 | |
| Division 1 | 21 | Tue | H | D | Falkirk | 2 | 2 | 18,000 | ||
| Division 1 | 25 | Sat | H | W | St Mirren | 5 | 0 | 20,000 | ||
| Division 1 | Sep | 8 | Sat | a | W | Morton | 1 | 0 | 15,000 | |
| Division 1 | 17 | Mon | a | D | Hearts | 0 | 0 | 24,000 | ||
| Division 1 | 22 | Sat | H | W | Aberdeen | 2 | 0 | 20,000 | ||
| Division 1 | 24 | Mon | H | W | Clyde | 2 | 1 | 12,000 | ||
| Division 1 | Oct | 6 | Sat | a | W | Dundee | 4 | 1 | 22,000 | |
| Division 1 | 13 | Sat | H | W | Ayr Utd | 5 | 0 | 15,000 | ||
| Division 1 | 20 | Sat | a | W | Hibs | 3 | 1 | 22,000 | ||
| Division 1 | 27 | Sat | H | D | Celtic | 0 | 0 | 38,000 | ||
| Division 1 | Nov | 3 | Sat | a | W | Partick Thistle | 6 | 0 | 35,000 | |
| Division 1 | 10 | Sat | H | W | Third Lanark | 2 | 0 | 15,000 | ||
| Division 1 | 17 | Sat | a | W | Falkirk | 1 | 0 | 16,000 | ||
| Division 1 | 24 | Sat | H | D | Airdrie | 0 | 0 | 20,000 | ||
| Division 1 | Dec | 1 | Sat | a | W | Clydebank (old) | 2 | 1 | 10,000 | |
| Division 1 | 8 | Sat | H | D | Queen's Park | 1 | 1 | 15,000 | ||
| Division 1 | 15 | Sat | a | W | Raith Rovers | 1 | 0 | 20,000 | ||
| Division 1 | 22 | Sat | H | W | Hamilton Acas | 4 | 0 | 10,000 | ||
| Division 1 | 29 | Sat | a | D | St Mirren | 0 | 0 | 12,000 | ||
| Division 1 | Jan | 1 | Tue | a | D | Celtic | 2 | 2 | 60,000 | |
| Division 1 | 2 | Wed | H | W | Partick Thistle | 1 | 0 | 30,000 | ||
| Division 1 | 5 | Sat | a | L | Ayr Utd | 1 | 2 | 14,000 | ||
| Division 1 | 12 | Sat | H | D | Dundee | 1 | 1 | 10,000 | ||
| Division 1 | 19 | Sat | a | W | Hamilton Acas | 3 | 2 | 12,000 | ||
| 1st | Scottish Cup | 26 | Sat | H | W | Lochgelly Utd | 4 | 1 | 6,000 | |
| Division 1 | Feb | 2 | Sat | H | W | Motherwell | 3 | 0 | 20,000 | |
| 2nd | Scottish Cup | 9 | Sat | a | W | St Mirren | 1 | 0 | 40,291 | |
| Division 1 | 12 | Tue | a | W | Queen's Park | 2 | 0 | 10,000 | ||
| Division 1 | 19 | Tue | H | W | Kilmarnock | 2 | 0 | 10,000 | ||
| 3rd | Scottish Cup | 23 | Sat | H | L | Hibs | 1 | 2 | 54,000 | |
| Division 1 | 26 | Tue | H | W | Clydebank (old) | 3 | 0 | 6,000 | ||
| Division 1 | Mar | 5 | Wed | a | D | Kilmarnock | 1 | 1 | 10,000 | |
| Division 1 | 11 | Tue | H | W | Hearts | 1 | 0 | 6,000 | ||
| Division 1 | 19 | Wed | a | L | Aberdeen | 0 | 1 | 16,000 | ||
| Division 1 | 22 | Sat | a | W | Third Lanark | 3 | 1 | 10,000 | ||
| Division 1 | 29 | Sat | H | L | Raith Rovers | 0 | 1 | 10,000 | ||
| Division 1 | Apr | 5 | Sat | H | W | Hibs | 2 | 1 | 12,000 | |
| Division 1 | 12 | Sat | H | W | Morton | 2 | 1 | 8,000 | ||
| Division 1 | 18 | Fri | a | L | Clyde | 1 | 3 | 10,000 | ||
| Division 1 | 26 | Sat | a | D | Airdrie | 0 | 0 | 8,000 |
