Manager: William Wilton
Home: Ibrox Stadium
Scottish League Winners: Rangers
Scottish Cup Winners: Kilmarnock
Match Results
| Round | Competition | Date | Venue | Outcome | Opponents | For | Agt | Crowd | ||
| Scottish League | Aug | 16 | Sat | a | W | Airdrie | 1 | 0 | 12,000 | |
| Scottish League | 23 | Sat | H | W | Aberdeen | 3 | 2 | 22,000 | ||
| Scottish League | 26 | Tue | H | W | Albion Rovers | 3 | 0 | 10,000 | ||
| Scottish League | 30 | Sat | a | W | St Mirren | 4 | 0 | 20,000 | ||
| Scottish League | Sep | 9 | Tue | H | W | Raith Rovers | 3 | 2 | 12,000 | |
| Scottish League | 13 | Sat | a | D | Clyde | 0 | 0 | 12,000 | ||
| Scottish League | 15 | Mon | a | W | Kilmarnock | 7 | 1 | 15,000 | ||
| Scottish League | 20 | Sat | H | W | Dumbarton | 4 | 0 | 10,000 | ||
| Scottish League | 27 | Sat | a | L | Motherwell | 0 | 1 | 20,000 | ||
| Scottish League | 29 | Mon | H | W | Hearts | 3 | 0 | 40,000 | ||
| Scottish League | Oct | 4 | Sat | H | W | Kilmarnock | 5 | 0 | 15,000 | |
| Scottish League | 11 | Sat | a | W | Raith Rovers | 2 | 1 | 15,000 | ||
| Scottish League | 18 | Sat | H | W | Celtic | 3 | 0 | 76,000 | ||
| Scottish League | 25 | Sat | a | W | Dundee | 2 | 0 | 30,000 | ||
| Scottish League | Nov | 1 | Sat | H | W | Third Lanark | 6 | 1 | 20,000 | |
| Scottish League | 8 | Sat | a | W | Partick Thistle | 2 | 1 | 45,000 | ||
| Scottish League | 22 | Sat | a | D | Queen's Park | 0 | 0 | 45,000 | ||
| Scottish League | 29 | Sat | a | W | Albion Rovers | 4 | 0 | 16,000 | ||
| Scottish League | Dec | 6 | Sat | H | W | Hibs | 7 | 0 | 14,000 | |
| Scottish League | 13 | Sat | a | D | Clydebank (old) | 0 | 0 | 20,000 | ||
| Scottish League | 20 | Sat | H | W | Hamilton Acas | 4 | 1 | 14,000 | ||
| Scottish League | 27 | Sat | a | W | Ayr Utd | 3 | 0 | 10,000 | ||
| Scottish League | Jan | 1 | Thu | a | D | Celtic | 1 | 1 | 80,000 | |
| Scottish League | 3 | Sat | H | W | Falkirk | 3 | 1 | 25,000 | ||
| Scottish League | 5 | Mon | H | D | Partick Thistle | 2 | 2 | 15,000 | ||
| Scottish League | 10 | Sat | a | W | Hamilton Acas | 2 | 1 | 10,000 | ||
| Scottish League | 17 | Sat | H | W | St Mirren | 3 | 1 | 10,000 | ||
| 1st | Scottish Cup | 24 | Sat | H | D | Dumbarton | 0 | 0 | 28,000 | |
| Replay | Scottish Cup | 27 | Tue | H | W | Dumbarton | 1 | 0 | 28,000 | |
| Scottish League | 31 | Sat | a | W | Falkirk | 3 | 0 | 12,000 | ||
| 2nd | Scottish Cup | Feb | 7 | Sat | H | W | Arbroath | 5 | 0 | 25,000 |
| Scottish League | 14 | Sat | a | W | Morton | 2 | 0 | 20,000 | ||
| 3rd | Scottish Cup | 21 | Sat | H | W | Broxburn Utd | 3 | 0 | 16,000 | |
| Scottish League | 28 | Sat | H | W | Clyde | 1 | 0 | 20,000 | ||
| Quarter | Scottish Cup | Mar | 6 | Sat | H | W | Celtic | 1 | 0 | 85,000 |
| Scottish League | 16 | Tue | H | D | Motherwell | 0 | 0 | 20,000 | ||
| Scottish League | 20 | Sat | a | W | Aberdeen | 2 | 0 | 24,000 | ||
| Semi | Scottish Cup | 27 | Sat | n | D | Albion Rovers | 1 | 1 | 32,000 | |
| Replay | Scottish Cup | 31 | Wed | n | D | Albion Rovers | 0 | 0 | 40,000 | |
| Scottish League | Apr | 3 | Sat | H | W | Airdrie | 3 | 2 | 25,000 | |
| Scottish League | 5 | Mon | H | L | Clydebank (old) | 1 | 2 | 25,000 | ||
| 2nd Replay | Scottish Cup | 7 | Wed | n | L | Albion Rovers | 0 | 2 | 65,000 | |
| Scottish League | 10 | Sat | a | D | Hearts | 0 | 0 | 24,000 | ||
| Scottish League | 13 | Tue | H | W | Ayr Utd | 2 | 1 | 15,000 | ||
| Scottish League | 17 | Sat | H | W | Queen's Park | 3 | 1 | 15,000 | ||
| Scottish League | 21 | Wed | a | D | Hibs | 1 | 1 | 12,000 | ||
| Scottish League | 24 | Sat | H | W | Dundee | 6 | 1 | 25,000 | ||
| Scottish League | 27 | Tue | a | W | Third Lanark | 2 | 0 | 35,000 | ||
| Scottish League | 28 | Wed | a | D | Dumbarton | 0 | 0 | 6,000 | ||
| Scottish League | May | 1 | Sat | H | W | Morton | 3 | 1 | 30,000 |
