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 | 16 | Sat | H | W | Raith Rovers | 3 | 0 | 15,000 | |
| Division 1 | 20 | Wed | H | W | St Johnstone | 3 | 1 | 30,000 | ||
| Division 1 | 23 | Sat | a | W | Aberdeen | 1 | 0 | 23,000 | ||
| Division 1 | 26 | Tue | a | W | Queen's Park | 3 | 1 | 30,000 | ||
| Division 1 | 30 | Sat | H | D | Kilmarnock | 1 | 1 | 18,000 | ||
| Division 1 | Sep | 13 | Sat | a | W | Ayr Utd | 4 | 0 | 20,000 | |
| Division 1 | 15 | Mon | a | W | Hearts | 2 | 1 | 22,000 | ||
| Division 1 | 27 | Sat | a | L | Airdrie | 0 | 1 | 27,000 | ||
| Division 1 | 29 | Mon | H | W | Hearts | 4 | 1 | 12,000 | ||
| Division 1 | Oct | 11 | Sat | a | D | Cowdenbeath | 2 | 2 | 20,000 | |
| Division 1 | 18 | Sat | H | W | Falkirk | 3 | 1 | 10,000 | ||
| Division 1 | 25 | Sat | a | W | Celtic | 1 | 0 | 40,000 | ||
| Division 1 | Nov | 1 | Sat | H | W | Partick Thistle | 4 | 0 | 25,000 | |
| Division 1 | 8 | Sat | a | D | Third Lanark | 1 | 1 | 23,000 | ||
| Division 1 | 15 | Sat | H | W | Hibs | 3 | 0 | 30,000 | ||
| Division 1 | 22 | Sat | a | W | St Johnstone | 3 | 1 | 10,000 | ||
| Division 1 | 29 | Sat | H | W | St Mirren | 3 | 1 | 26,000 | ||
| Division 1 | Dec | 6 | Sat | a | D | Dundee | 0 | 0 | 20,000 | |
| Division 1 | 13 | Sat | H | W | Hamilton Acas | 2 | 0 | 10,000 | ||
| Division 1 | 20 | Sat | a | W | St Mirren | 4 | 1 | 20,000 | ||
| Division 1 | 27 | Sat | H | W | Motherwell | 1 | 0 | 15,000 | ||
| Division 1 | Jan | 1 | Thu | H | W | Celtic | 4 | 1 | 34,000 | |
| Division 1 | 3 | Sat | H | W | Morton | 2 | 0 | 17,000 | ||
| Division 1 | 5 | Mon | a | W | Partick Thistle | 1 | 0 | 25,000 | ||
| Division 1 | 10 | Sat | a | D | Morton | 1 | 1 | 10,000 | ||
| Division 1 | 17 | Sat | H | D | Queen's Park | 1 | 1 | 20,000 | ||
| 1st | Scottish Cup | 24 | Sat | a | W | East Fife | 3 | 1 | 10,000 | |
| Division 1 | 31 | Sat | a | L | Hamilton Acas | 0 | 1 | 15,000 | ||
| 2nd | Scottish Cup | Feb | 7 | Sat | a | W | Montrose | 2 | 0 | 4,000 |
| Division 1 | 10 | Tue | H | W | Dundee | 2 | 0 | 5,000 | ||
| Division 1 | 18 | Wed | a | D | Falkirk | 1 | 1 | 12,000 | ||
| 3rd | Scottish Cup | 21 | Sat | H | W | Arbroath | 5 | 3 | 18,000 | |
| Division 1 | 25 | Wed | H | D | Airdrie | 1 | 1 | 40,000 | ||
| Quarter | Scottish Cup | Mar | 7 | Sat | a | W | Kilmarnock | 2 | 1 | 31,502 |
| Division 1 | 11 | Wed | a | L | Hibs | 1 | 4 | 23,000 | ||
| Semi | Scottish Cup | 21 | Sat | n | L | Celtic | 0 | 5 | 101,714 | |
| Division 1 | 25 | Wed | a | W | Raith Rovers | 4 | 0 | |||
| Division 1 | 28 | Sat | a | D | Kilmarnock | 0 | 0 | 12,000 | ||
| Division 1 | Apr | 1 | Wed | H | W | Cowdenbeath | 1 | 0 | 5,000 | |
| Division 1 | 7 | Tue | H | W | Aberdeen | 2 | 0 | 8,000 | ||
| Division 1 | 11 | Sat | H | W | Third Lanark | 5 | 2 | 12,000 | ||
| Division 1 | 18 | Sat | a | D | Motherwell | 1 | 1 | 7,000 | ||
| Division 1 | 25 | Sat | H | W | Ayr Utd | 1 | 0 | 10,000 |
