Manager: William Wilton
Home: Ibrox Stadium
Division One Winners: Celtic
Scottish Cup Winners: Dundee
Glasgow Cup Winners: Celtic
Glasgow Merchants' Charity Cup Winners: Clyde
Match Results
| Round | Competition | Date | Venue | Outcome | Opponents | For | Agt | Crowd | ||
| Division 1 | Aug | 16 | Mon | H | W | Kilmarnock | 3 | 0 | 18,000 | |
| Division 1 | 21 | Sat | a | L | Airdrie | 1 | 2 | 13,000 | ||
| Division 1 | 28 | Sat | H | D | St Mirren | 1 | 1 | 16,000 | ||
| Division 1 | Sep | 4 | Sat | a | L | Dundee | 2 | 4 | 22,000 | |
| 1st | Glasgow Cup | 11 | Sat | H | W | Partick Thistle | 2 | 1 | 18,000 | |
| Division 1 | 18 | Sat | H | W | Aberdeen | 2 | 1 | 16,000 | ||
| Division 1 | 20 | Mon | a | L | Hibs | 0 | 1 | 10,000 | ||
| Semi | Glasgow Cup | 25 | Sat | a | W | Third Lanark | 2 | 1 | 30,000 | |
| Division 1 | 27 | Mon | H | W | Dundee | 2 | 1 | 30,000 | ||
| Division 1 | Oct | 2 | Sat | a | D | Port Glasgow Athletic | 1 | 1 | 5,000 | |
| Final | Glasgow Cup | 9 | Sat | n | L | Celtic | 0 | 1 | 55,000 | |
| Division 1 | 16 | Sat | H | W | Hamilton Acas | 5 | 1 | 9,000 | ||
| Division 1 | 23 | Sat | a | W | Kilmarnock | 2 | 0 | 9,500 | ||
| Division 1 | 30 | Sat | H | D | Celtic | 0 | 0 | 45,000 | ||
| Division 1 | Nov | 6 | Sat | a | D | Partick Thistle | 0 | 0 | 30,000 | |
| Division 1 | 13 | Sat | a | L | Clyde | 0 | 1 | 18,000 | ||
| Division 1 | 20 | Sat | H | W | Queen's Park | 7 | 1 | 14,000 | ||
| Division 1 | 27 | Sat | H | W | Motherwell | 4 | 1 | 7,000 | ||
| Division 1 | Dec | 4 | Sat | a | W | Morton | 4 | 1 | 6,000 | |
| Division 1 | 11 | Sat | a | L | Third Lanark | 1 | 2 | 6,000 | ||
| Division 1 | 18 | Sat | H | W | Partick Thistle | 2 | 1 | 16,000 | ||
| Division 1 | 25 | Sat | a | L | Falkirk | 1 | 3 | 7,000 | ||
| Division 1 | Jan | 1 | Sat | a | D | Celtic | 1 | 1 | 47,000 | |
| Division 1 | 3 | Mon | H | W | Port Glasgow Athletic | 4 | 0 | 8,000 | ||
| Division 1 | 8 | Sat | H | W | Hearts | 1 | 0 | 8,000 | ||
| Division 1 | 15 | Sat | a | W | Hamilton Acas | 3 | 2 | 8,000 | ||
| 1st | Scottish Cup | 22 | Sat | H | W | Inverness Thistle | 3 | 1 | 10,000 | |
| Division 1 | 29 | Sat | a | W | Motherwell | 3 | 2 | 8,000 | ||
| 2nd | Scottish Cup | Feb | 5 | Sat | a | L | Clyde | 0 | 2 | 35,000 |
| Division 1 | 19 | Sat | H | W | Morton | 2 | 1 | 8,000 | ||
| Division 1 | 26 | Sat | a | W | St Mirren | 6 | 1 | 8,000 | ||
| Division 1 | Mar | 5 | Sat | a | D | Aberdeen | 1 | 1 | 8,000 | |
| Division 1 | 12 | Sat | a | L | Queen's Park | 2 | 3 | 16,000 | ||
| Division 1 | 19 | Sat | H | W | Airdrie | 3 | 0 | 5,000 | ||
| Division 1 | 26 | Sat | H | W | Hibs | 1 | 0 | 15,000 | ||
| Division 1 | 28 | Mon | H | W | Third Lanark | 1 | 0 | 12,000 | ||
| Division 1 | Apr | 18 | Mon | a | W | Hearts | 3 | 1 | 7,000 | |
| Division 1 | 23 | Sat | H | W | Clyde | 1 | 0 | 10,000 | ||
| Division 1 | 30 | Sat | H | L | Falkirk | 0 | 1 | 15,000 | ||
| Semi | Glasgow M Charity Cup | May | 7 | Sat | H | L | Clyde | 0 | 1 | 14,000 |
Trivia
From the start of this season, goalkeepers were required to wear distinctive jerseys.
