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 | 13 | Sat | a | L | St Mirren | 0 | 2 | 25,000 | |
| Division 1 | 17 | Wed | a | W | Morton | 3 | 1 | 16,000 | ||
| Division 1 | 20 | Sat | H | W | Ayr Utd | 4 | 1 | 17,000 | ||
| Division 1 | 23 | Tue | H | D | Clyde | 2 | 2 | 8,000 | ||
| Division 1 | 27 | Sat | a | W | Airdrie | 2 | 1 | 12,000 | ||
| Division 1 | 31 | Wed | H | W | Third Lanark | 5 | 0 | 10,000 | ||
| Division 1 | Sep | 3 | Sat | H | W | East Stirling | 4 | 0 | 10,000 | |
| Division 1 | 10 | Sat | a | D | Celtic | 1 | 1 | 60,000 | ||
| Division 1 | 17 | Sat | H | W | Partick Thistle | 3 | 0 | 13,000 | ||
| Division 1 | 24 | Sat | a | W | Cowdenbeath | 3 | 2 | 5,000 | ||
| Division 1 | Oct | 1 | Sat | H | D | Motherwell | 2 | 2 | 55,000 | |
| Division 1 | 8 | Sat | a | W | Dundee | 3 | 0 | 6,600 | ||
| Division 1 | 22 | Sat | a | L | Hearts | 0 | 1 | 25,000 | ||
| Division 1 | 29 | Sat | H | W | Kilmarnock | 2 | 0 | 9,000 | ||
| Division 1 | Nov | 5 | Sat | a | W | Clyde | 5 | 0 | 20,000 | |
| Division 1 | 12 | Sat | H | W | Morton | 6 | 1 | |||
| Division 1 | 19 | Sat | H | W | St Johnstone | 3 | 0 | |||
| Division 1 | 26 | Sat | a | W | Falkirk | 4 | 1 | 12,000 | ||
| Division 1 | Dec | 3 | Sat | H | W | Aberdeen | 3 | 1 | 20,000 | |
| Division 1 | 10 | Sat | a | D | Queen's Park | 0 | 0 | 16,000 | ||
| Division 1 | 17 | Sat | H | D | Hamilton Acas | 4 | 4 | 8,000 | ||
| Division 1 | 24 | Sat | H | W | St Mirren | 4 | 0 | 15,000 | ||
| Division 1 | 31 | Sat | a | D | Ayr Utd | 3 | 3 | 10,000 | ||
| Division 1 | Jan | 2 | Mon | H | D | Celtic | 0 | 0 | 42,000 | |
| Division 1 | 3 | Tue | a | D | Partick Thistle | 0 | 0 | 40,000 | ||
| Division 1 | 7 | Sat | H | W | Airdrie | 5 | 1 | 7,000 | ||
| Division 1 | 14 | Sat | a | W | East Stirling | 3 | 2 | 5,000 | ||
| 1st | Scottish Cup | 23 | Mon | H | W | Arbroath | 3 | 1 | 5,000 | |
| Division 1 | 28 | Sat | H | W | Cowdenbeath | 4 | 1 | 7,000 | ||
| 2nd | Scottish Cup | Feb | 4 | Sat | H | D | Queen's Park | 1 | 1 | 30,006 |
| Replay | Scottish Cup | 8 | Wed | a | D | Queen's Park | 1 | 1 | 31,805 | |
| Division 1 | 11 | Sat | a | W | Motherwell | 3 | 1 | 30,000 | ||
| Replay | Scottish Cup | 13 | Mon | a | W | Queen's Park | 3 | 1 | 45,217 | |
| 3rd | Scottish Cup | 18 | Sat | a | L | Kilmarnock | 0 | 1 | 32,745 | |
| Division 1 | 25 | Sat | H | W | Dundee | 6 | 4 | 8,000 | ||
| Division 1 | Mar | 4 | Sat | a | W | Third Lanark | 3 | 1 | 15,000 | |
| Division 1 | 11 | Sat | H | D | Hearts | 4 | 4 | 28,000 | ||
| Division 1 | 18 | Sat | a | W | Kilmarnock | 6 | 2 | 7,000 | ||
| Division 1 | 25 | Sat | a | W | St Johnstone | 2 | 0 | 12,000 | ||
| Division 1 | Apr | 8 | Sat | H | W | Falkirk | 5 | 1 | 12,000 | |
| Division 1 | 15 | Sat | a | D | Aberdeen | 1 | 1 | 22,000 | ||
| Division 1 | 22 | Sat | H | W | Queen's Park | 1 | 0 | 22,000 | ||
| Division 1 | 29 | Sat | a | W | Hamilton Acas | 4 | 2 | 4,000 |
