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 | 10 | Sat | a | W | Motherwell | 2 | 0 | 25,000 | |
| Division 1 | 17 | Sat | H | W | Hibs | 3 | 0 | 18,000 | ||
| Division 1 | 24 | Sat | a | W | St Johnstone | 1 | 0 | 10,000 | ||
| Division 1 | 31 | Sat | H | W | Falkirk | 4 | 0 | 28,000 | ||
| Division 1 | Sep | 3 | Tue | H | W | Queen's Park | 1 | 0 | 18,000 | |
| Division 1 | 7 | Sat | a | D | Aberdeen | 1 | 1 | 36,000 | ||
| Division 1 | 14 | Sat | H | W | St Mirren | 2 | 1 | 25,000 | ||
| Division 1 | 21 | Sat | a | L | Kilmarnock | 0 | 1 | 23,000 | ||
| Division 1 | 28 | Sat | H | W | Dundee Utd | 3 | 1 | 20,000 | ||
| Division 1 | Oct | 5 | Sat | a | L | Hearts | 0 | 2 | 41,000 | |
| Division 1 | 19 | Sat | a | W | Partick Thistle | 1 | 0 | 40,000 | ||
| Division 1 | 26 | Sat | H | W | Celtic | 1 | 0 | 50,000 | ||
| Division 1 | Nov | 9 | Sat | H | W | Hamilton Acas | 5 | 2 | 12,000 | |
| Division 1 | 16 | Sat | H | W | Ayr Utd | 9 | 0 | 12,000 | ||
| Division 1 | 23 | Sat | a | D | Clyde | 3 | 3 | 25,000 | ||
| Division 1 | 30 | Sat | a | D | Morton | 2 | 2 | 18,000 | ||
| Division 1 | Dec | 7 | Sat | H | W | Dundee | 4 | 1 | 12,000 | |
| Division 1 | 14 | Sat | H | W | Airdrie | 2 | 0 | 11,000 | ||
| Division 1 | 21 | Sat | H | W | Motherwell | 4 | 2 | 22,000 | ||
| Division 1 | 28 | Sat | a | W | Hibs | 2 | 0 | 18,000 | ||
| Division 1 | Jan | 1 | Wed | a | W | Celtic | 2 | 1 | 40,000 | |
| Division 1 | 2 | Thu | H | W | Partick Thistle | 2 | 1 | 35,000 | ||
| Division 1 | 4 | Sat | H | W | St Johnstone | 6 | 1 | 15,000 | ||
| 1st | Scottish Cup | 13 | Mon | a | W | Queen's Park | 1 | 0 | 95,722 | |
| Division 1 | 25 | Sat | H | W | Aberdeen | 3 | 1 | 45,000 | ||
| 2nd | Scottish Cup | Feb | 1 | Sat | H | D | Cowdenbeath | 2 | 2 | 40,000 |
| Replay | Scottish Cup | 5 | Wed | a | W | Cowdenbeath | 3 | 0 | 18,754 | |
| Division 1 | 8 | Sat | H | W | Kilmarnock | 4 | 0 | 25,000 | ||
| Division 1 | 11 | Tue | a | W | St Mirren | 1 | 0 | 10,000 | ||
| 3rd | Scottish Cup | 15 | Sat | a | W | Motherwell | 5 | 2 | 27,500 | |
| Division 1 | 19 | Wed | a | W | Dundee Utd | 1 | 0 | 8,000 | ||
| Division 1 | 22 | Sat | H | L | Hearts | 1 | 3 | 10,000 | ||
| Quarter | Scottish Cup | Mar | 1 | Sat | H | W | Montrose | 3 | 0 | 12,500 |
| Division 1 | 4 | Tue | a | W | Queen's Park | 3 | 1 | 13,000 | ||
| Division 1 | 8 | Sat | H | W | Cowdenbeath | 5 | 0 | 12,000 | ||
| Division 1 | 15 | Sat | a | D | Hamilton Acas | 1 | 1 | 18,000 | ||
| Semi | Scottish Cup | 22 | Sat | n | W | Hearts | 4 | 1 | 92,084 | |
| Division 1 | 26 | Wed | a | W | Ayr Utd | 3 | 0 | 6,000 | ||
| Division 1 | 29 | Sat | H | W | Clyde | 3 | 0 | 10,000 | ||
| Final | Scottish Cup | Apr | 12 | Sat | n | D | Partick Thistle | 0 | 0 | 107,475 |
| Replay | Scottish Cup | 16 | Wed | n | W | Partick Thistle | 2 | 1 | 103,688 | |
| Division 1 | 19 | Sat | a | L | Airdrie | 0 | 1 | 4,000 | ||
| Division 1 | 21 | Mon | H | W | Morton | 3 | 0 | 10,000 | ||
| Division 1 | 23 | Wed | a | W | Dundee | 3 | 1 | 8,000 | ||
| Division 1 | 26 | Sat | a | L | Cowdenbeath | 2 | 3 | 2,500 | ||
| Division 1 | 30 | Wed | a | L | Falkirk | 1 | 2 | 5,000 |
Trivia
From this season, goalkeepers were required to stand still at penalties until the ball was hit.
