Manager: William Wilton
Home: Ibrox Stadium
Division One Winners: Rangers
Scottish Cup Winners: Celtic
Glasgow Cup Winners: Rangers
Glasgow Merchants' Charity Cup Winners: Rangers
Match Results
| Round | Competition | Date | Venue | Outcome | Opponents | For | Agt | Crowd | ||
| Division 1 | Aug | 20 | Sat | H | W | St Mirren | 1 | 0 | 25,000 | |
| Division 1 | 27 | Sat | a | W | Raith Rovers | 2 | 0 | 10,000 | ||
| Division 1 | Sep | 3 | Sat | H | L | Dundee | 1 | 2 | 30,000 | |
| Division 1 | 10 | Sat | a | W | Hamilton Acas | 4 | 2 | 10,000 | ||
| Division 1 | 17 | Sat | H | L | Aberdeen | 2 | 4 | 19,000 | ||
| Division 1 | 19 | Mon | a | W | Hearts | 4 | 1 | 9,000 | ||
| Semi | Glasgow Cup | 24 | Sat | a | D | Clyde | 1 | 1 | 42,000 | |
| Division 1 | 26 | Mon | H | W | Hibs | 4 | 0 | 15,000 | ||
| Replay | Glasgow Cup | 28 | Wed | H | W | Clyde | 3 | 0 | 12,000 | |
| Division 1 | Oct | 1 | Sat | a | W | Motherwell | 2 | 1 | 12,000 | |
| Final | Glasgow Cup | 8 | Sat | n | W | Celtic | 3 | 1 | 65,000 | |
| Division 1 | 15 | Sat | a | D | Third Lanark | 1 | 1 | 30,000 | ||
| Division 1 | 22 | Sat | H | L | Morton | 1 | 5 | 15,000 | ||
| Division 1 | 29 | Sat | a | W | Celtic | 1 | 0 | 35,000 | ||
| Division 1 | Nov | 5 | Sat | H | W | Airdrie | 7 | 1 | 12,000 | |
| Division 1 | 12 | Sat | H | W | Kilmarnock | 3 | 0 | 7,000 | ||
| Division 1 | 19 | Sat | a | W | Queen's Park | 4 | 0 | 18,000 | ||
| Division 1 | 26 | Sat | H | W | Motherwell | 7 | 1 | 6,000 | ||
| Division 1 | Dec | 3 | Sat | a | L | Aberdeen | 0 | 1 | 14,000 | |
| Division 1 | 10 | Sat | H | D | Falkirk | 1 | 1 | 10,000 | ||
| Division 1 | 17 | Sat | a | L | St Mirren | 1 | 2 | 10,000 | ||
| Division 1 | 24 | Sat | H | W | Hearts | 2 | 0 | 9,000 | ||
| Division 1 | 31 | Sat | a | W | Kilmarnock | 2 | 0 | 12,000 | ||
| Division 1 | Jan | 2 | Mon | H | D | Celtic | 1 | 1 | 60,000 | |
| Division 1 | 3 | Tue | a | D | Partick Thistle | 2 | 2 | 35,000 | ||
| Division 1 | 7 | Sat | H | W | Clyde | 6 | 1 | 10,000 | ||
| Division 1 | 14 | Sat | H | W | Hamilton Acas | 4 | 0 | 8,000 | ||
| Division 1 | 21 | Sat | a | W | Airdrie | 4 | 1 | 10,000 | ||
| 1st | Scottish Cup | 28 | Sat | H | W | Kilmarnock | 2 | 1 | 40,000 | |
| Division 1 | Feb | 4 | Sat | H | W | Raith Rovers | 4 | 1 | 8,000 | |
| 2nd | Scottish Cup | 11 | Sat | H | W | Morton | 3 | 0 | 39,000 | |
| Division 1 | 18 | Sat | H | W | Partick Thistle | 2 | 0 | 8,000 | ||
| Quarter | Scottish Cup | 25 | Sat | a | L | Dundee | 1 | 2 | 30,000 | |
| Division 1 | Mar | 11 | Sat | a | W | Hibs | 3 | 1 | 12,000 | |
| Division 1 | 18 | Sat | H | W | Queen's Park | 4 | 0 | 6,000 | ||
| Division 1 | 25 | Sat | a | D | Morton | 2 | 2 | 10,000 | ||
| Division 1 | Apr | 8 | Sat | a | W | Dundee | 2 | 0 | 12,000 | |
| Division 1 | 15 | Sat | a | D | Falkirk | 2 | 2 | 10,000 | ||
| Division 1 | 20 | Thu | H | W | Third Lanark | 3 | 1 | 10,000 | ||
| Division 1 | 22 | Sat | a | W | Clyde | 1 | 0 | 10,000 | ||
| 1st | Glasgow Merchants Charity Cup | May | 3 | Wed | H | W | Clyde | 3 | 2 | 8,000 |
| Semi | Glasgow Merchants Charity Cup | 6 | Sat | a | W | Queen's Park | 1 | 0 | 15,000 | |
| Final | Glasgow Merchants Charity Cup | 10 | Wed | n | W | Celtic | 2 | 1 | 22,000 |
