Manager: William Wilton
Home: Ibrox Stadium
Division One Winners: Rangers
Scottish Cup Winners: Falkirk
Glasgow Cup Winners: Rangers
Glasgow Merchants' Charity Cup Winners: Celtic
Inter-City League: Competition abandoned due to lack of interest from the public
Match Results
| Round | Competition | Date | Venue | Outcome | Opponents | For | Agt | Crowd | ||
| Division 1 | Aug | 17 | Sat | H | W | Airdrie | 4 | 2 | 25,000 | |
| Division 1 | 24 | Sat | a | W | Hamilton Acas | 2 | 0 | 18,000 | ||
| Division 1 | 31 | Sat | H | D | Dundee | 3 | 3 | 40,000 | ||
| Division 1 | Sep | 7 | Sat | a | W | St Mirren | 3 | 0 | 20,000 | |
| Division 1 | 14 | Sat | a | W | Motherwell | 2 | 1 | 20,000 | ||
| Division 1 | 21 | Sat | H | L | Hearts | 2 | 4 | 50,000 | ||
| Semi | Glasgow Cup | 28 | Sat | a | D | Partick Thistle | 0 | 0 | 35,000 | |
| Division 1 | 30 | Mon | H | W | Kilmarnock | 3 | 0 | 14,000 | ||
| Division 1 | Oct | 5 | Sat | a | W | Aberdeen | 3 | 1 | 20,000 | |
| Replay | Glasgow Cup | 7 | Mon | H | D | Partick Thistle | 1 | 1 | 18,000 | |
| 2nd Replay | Glasgow Cup | 9 | Wed | a | W | Partick Thistle | 2 | 0 | 18,000 | |
| Final | Glasgow Cup | 12 | Sat | n | W | Celtic | 3 | 1 | 90,000 | |
| Inter-City League | 15 | Tue | H | W | Aberdeen | 5 | 2 | 2,000 | ||
| Division 1 | 19 | Sat | a | W | Hibs | 1 | 0 | 16,000 | ||
| Inter-City League | 22 | Tue | a | L | Hearts | 0 | 3 | 4,000 | ||
| Division 1 | 26 | Sat | a | L | Celtic | 2 | 3 | 45,000 | ||
| Inter-City League | 29 | Tue | H | W | Hibs | 2 | 1 | 2,000 | ||
| Division 1 | Nov | 2 | Sat | H | D | Morton | 1 | 1 | 18,000 | |
| Inter-City League | 5 | Tue | H | W | Celtic | 4 | 0 | 7,000 | ||
| Division 1 | 9 | Sat | a | W | Queen's Park | 3 | 2 | 10,000 | ||
| Division 1 | 16 | Sat | H | W | Third Lanark | 2 | 1 | 20,000 | ||
| Division 1 | 23 | Sat | H | W | Clyde | 3 | 1 | 18,000 | ||
| Division 1 | 30 | Sat | a | L | Falkirk | 0 | 2 | 15,000 | ||
| Division 1 | Dec | 7 | Sat | a | D | Raith Rovers | 2 | 2 | 12,000 | |
| Division 1 | 14 | Sat | H | W | St Mirren | 2 | 1 | 12,000 | ||
| Division 1 | 21 | Sat | a | L | Airdrie | 0 | 3 | 7,000 | ||
| Division 1 | 28 | Sat | H | W | Aberdeen | 3 | 1 | 15,000 | ||
| Division 1 | Jan | 1 | Wed | H | L | Celtic | 0 | 1 | 67,000 | |
| Division 1 | 2 | Thu | a | W | Partick Thistle | 3 | 2 | 25,000 | ||
| Division 1 | 4 | Sat | H | W | Hibs | 5 | 3 | 20,000 | ||
| Division 1 | 11 | Sat | H | W | Motherwell | 3 | 1 | 8,000 | ||
| Division 1 | 25 | Sat | a | W | Morton | 3 | 0 | 15,000 | ||
| Division 1 | Feb | 1 | Sat | H | W | Raith Rovers | 4 | 0 | 8,000 | |
| 2nd | Scottish Cup | 8 | Sat | a | D | Hamilton Acas | 1 | 1 | 16,000 | |
| Replay | Scottish Cup | 15 | Sat | H | W | Hamilton Acas | 2 | 0 | 37,000 | |
| 3rd | Scottish Cup | 22 | Sat | H | L | Falkirk | 1 | 3 | 48,000 | |
| Division 1 | Mar | 1 | Sat | a | W | Kilmarnock | 3 | 2 | 6,000 | |
| Division 1 | 8 | Sat | H | W | Hamilton Acas | 3 | 2 | 12,000 | ||
| Division 1 | 15 | Sat | a | D | Hearts | 1 | 1 | 18,000 | ||
| Division 1 | 22 | Sat | H | W | Partick Thistle | 2 | 0 | 12,000 | ||
| Division 1 | 24 | Mon | a | W | Third Lanark | 1 | 0 | 25,000 | ||
| Division 1 | Apr | 5 | Sat | H | W | Queen's Park | 4 | 0 | 10,000 | |
| Division 1 | 15 | Tue | a | W | Clyde | 1 | 0 | 10,000 | ||
| Division 1 | 19 | Sat | a | D | Dundee | 0 | 0 | 12,000 | ||
| Division 1 | 26 | Sat | H | W | Falkirk | 2 | 1 | 16,000 | ||
| Semi | Glasgow M Charity Cup | May | 3 | Sat | H | W | Partick Thistle | 3 | 1 | 10,000 |
| Final | Glasgow M Charity Cup | 10 | Sat | a | L | Celtic | 2 | 3 | 30,000 |
