Manager: Bill Struth
Home: Ibrox Stadium
Division One Winners: Rangers
Scottish Cup Winners: Rangers
Match Results
| Round | Competition | Date | Venue | Outcome | Opponents | For | Agt | Crowd | ||
| Division 1 | Aug | 12 | Sat | H | W | Airdrie | 5 | 1 | 10,000 | |
| Division 1 | 15 | Tue | H | W | Ayr Utd | 9 | 1 | 8,000 | ||
| Division 1 | 19 | Sat | a | D | Hibs | 0 | 0 | 21,000 | ||
| Division 1 | 22 | Tue | a | W | Clyde | 6 | 1 | 20,000 | ||
| Division 1 | 26 | Sat | H | W | Cowdenbeath | 3 | 1 | 7,000 | ||
| Division 1 | Sep | 2 | Sat | a | L | Motherwell | 1 | 2 | 30,000 | |
| Division 1 | 9 | Sat | H | D | Celtic | 2 | 2 | 49,000 | ||
| Division 1 | 13 | Wed | H | W | Queen of the South | 5 | 1 | 7,000 | ||
| Division 1 | 16 | Sat | a | W | Ayr Utd | 2 | 0 | |||
| Division 1 | 23 | Sat | H | W | Dundee | 1 | 0 | 14,000 | ||
| Division 1 | 30 | Sat | a | W | Partick Thistle | 4 | 3 | 20,000 | ||
| Division 1 | Oct | 7 | Sat | H | W | St Mirren | 3 | 0 | 14,000 | |
| Division 1 | 21 | Sat | H | W | Hearts | 3 | 1 | 30,000 | ||
| Division 1 | 28 | Sat | a | W | Kilmarnock | 3 | 1 | 16,000 | ||
| Division 1 | Nov | 4 | Sat | H | W | Clyde | 3 | 1 | 10,000 | |
| Division 1 | 11 | Sat | a | W | Queen of the South | 4 | 0 | 11,040 | ||
| Division 1 | 18 | Sat | a | L | St Johnstone | 1 | 3 | 6,000 | ||
| Division 1 | 25 | Sat | H | W | Falkirk | 3 | 1 | 12,000 | ||
| Division 1 | Dec | 2 | Sat | a | W | Aberdeen | 2 | 1 | 21,000 | |
| Division 1 | 9 | Sat | H | W | Queen's Park | 4 | 0 | 10,000 | ||
| Division 1 | 23 | Sat | a | W | Airdrie | 7 | 2 | |||
| Division 1 | 30 | Sat | H | W | Hibs | 6 | 0 | 6,000 | ||
| Division 1 | Jan | 1 | Mon | a | D | Celtic | 2 | 2 | 40,000 | |
| Division 1 | 2 | Tue | H | D | Partick Thistle | 2 | 2 | 20,000 | ||
| Division 1 | 6 | Sat | a | W | Cowdenbeath | 4 | 3 | 2,000 | ||
| Division 1 | 13 | Sat | H | W | Motherwell | 4 | 2 | 67,000 | ||
| 1st | Scottish Cup | 20 | Sat | H | W | Blairgowrie | 12 | 2 | 5,000 | |
| Division 1 | 27 | Sat | a | W | Dundee | 6 | 0 | 20,000 | ||
| 2nd | Scottish Cup | Feb | 3 | Sat | a | W | Third Lanark | 3 | 0 | 27,038 |
| 3rd | Scottish Cup | 17 | Sat | H | D | Hearts | 0 | 0 | 69,543 | |
| Replay | Scottish Cup | 21 | Wed | a | W | Hearts | 2 | 1 | 47,453 | |
| Division 1 | 24 | Sat | a | W | St Mirren | 2 | 1 | 14,000 | ||
| Quarter | Scottish Cup | Mar | 3 | Sat | H | W | Aberdeen | 1 | 0 | 53,000 |
| Division 1 | 10 | Sat | a | W | Hearts | 2 | 1 | 26,000 | ||
| Division 1 | 14 | Wed | a | W | Hamilton Acas | 2 | 1 | 10,000 | ||
| Division 1 | 17 | Sat | H | D | Kilmarnock | 2 | 2 | 7,000 | ||
| Division 1 | 21 | Wed | H | W | Third Lanark | 1 | 0 | 4,000 | ||
| Division 1 | 24 | Sat | H | W | St Johnstone | 3 | 0 | 13,000 | ||
| Semi | Scottish Cup | 31 | Sat | n | W | St Johnstone | 1 | 0 | 60,119 | |
| Division 1 | Apr | 3 | Tue | a | W | Third Lanark | 1 | 0 | 18,000 | |
| Division 1 | 7 | Sat | H | W | Aberdeen | 2 | 1 | 18,000 | ||
| Final | Scottish Cup | 21 | Sat | n | W | St Mirren | 5 | 0 | 113,403 | |
| Division 1 | 25 | Wed | a | W | Falkirk | 3 | 1 | 15,000 | ||
| Division 1 | 28 | Sat | H | W | Hamilton Acas | 4 | 2 | |||
| Division 1 | 30 | Mon | a | D | Queen's Park | 1 | 1 | 8,000 |
