Manager: William Wilton
Home: Ibrox Stadium
Division One Winners: Celtic
Scottish Cup Winners: Third Lanark
Glasgow Cup Winners: Celtic
Glasgow Merchants' Charity Cup Winners: Celtic
Glasgow League: Third Lanark
Inter-City League: Dundee
Match Results
| Round | Competition | Date | Venue | Outcome | Opponents | For | Agt | Crowd | ||
| Division 1 | Aug | 20 | Sat | a | L | Third Lanark | 1 | 2 | 20,000 | |
| Division 1 | 27 | Sat | H | W | Hibs | 4 | 0 | 12,000 | ||
| Division 1 | Sep | 3 | Sat | H | W | Partick Thistle | 8 | 1 | 7,000 | |
| Division 1 | 10 | Sat | a | W | Dundee | 3 | 0 | 14,760 | ||
| Division 1 | 17 | Sat | a | W | Queen's Park | 4 | 0 | 30,231 | ||
| Division 1 | 19 | Mon | a | W | Hibs | 2 | 1 | |||
| Semi | Glasgow Cup | 24 | Sat | H | W | Third Lanark | 3 | 0 | 27,837 | |
| Division 1 | 26 | Mon | H | D | Hearts | 1 | 1 | 20,188 | ||
| Division 1 | Oct | 1 | Sat | H | L | St Mirren | 2 | 3 | 10,000 | |
| Final | Glasgow Cup | 8 | Sat | n | L | Celtic | 1 | 2 | 54,613 | |
| Division 1 | 15 | Sat | a | D | Celtic | 2 | 2 | 25,000 | ||
| Division 1 | 22 | Sat | H | W | Queen's Park | 5 | 0 | 15,000 | ||
| Division 1 | 29 | Sat | H | W | Dundee | 2 | 1 | 13,000 | ||
| Division 1 | Nov | 5 | Sat | a | W | Hearts | 5 | 0 | 10,000 | |
| Division 1 | 12 | Sat | a | L | St Mirren | 0 | 3 | |||
| Division 1 | 19 | Sat | H | W | Third Lanark | 3 | 1 | |||
| Division 1 | Dec | 3 | Sat | a | W | Kilmarnock | 4 | 0 | 6,500 | |
| Division 1 | 10 | Sat | a | W | Motherwell | 2 | 0 | 5,000 | ||
| Division 1 | 17 | Sat | H | W | Airdrie | 4 | 1 | 4,000 | ||
| Division 1 | 31 | Sat | a | D | Airdrie | 2 | 2 | 8,000 | ||
| Division 1 | Jan | 3 | Tue | a | W | Partick Thistle | 4 | 1 | 11,000 | |
| Division 1 | 14 | Sat | H | W | Motherwell | 3 | 2 | 6,000 | ||
| Division 1 | 21 | Sat | H | W | Kilmarnock | 6 | 2 | |||
| 1st | Scottish Cup | 28 | Sat | H | W | Ayr Parkhouse | 2 | 1 | 7,000 | |
| Division 1 | Feb | 4 | Sat | a | W | Port Glasgow Athletic | 3 | 0 | 7,000 | |
| 2nd | Scottish Cup | 11 | Sat | a | W | Morton | 6 | 0 | 9,000 | |
| Division 1 | 18 | Sat | H | L | Celtic | 1 | 4 | 30,000 | ||
| Quarter | Scottish Cup | 25 | Sat | H | W | Beith | 5 | 1 | 4,000 | |
| Glasgow League | Mar | 4 | Sat | a | L | Partick Thistle | 0 | 1 | 2,000 | |
| Division 1 | 18 | Sat | H | W | Port Glasgow Athletic | 5 | 1 | 5,000 | ||
| Glasgow League | 19 | Sun | a | W | Third Lanark | 4 | 1 | |||
| Glasgow League | 22 | Wed | H | L | Partick Thistle | 3 | 4 | 5,000 | ||
| Glasgow League | 24 | Fri | H | W | Queen's Park | 3 | 2 | 4,000 | ||
| Semi | Scottish Cup | 25 | Sat | a | W | Celtic | 2 | 0 | 36,000 | |
| Division 1 | Apr | 1 | Sat | H | W | Morton | 5 | 0 | 5,000 | |
| Final | Scottish Cup | 8 | Sat | n | D | Third Lanark | 0 | 0 | 54,000 | |
| Replay | Scottish Cup | 15 | Sat | n | L | Third Lanark | 1 | 3 | 30,000 | |
| Division 1 | 29 | Sat | a | W | Morton | 2 | 0 | 3,000 | ||
| Glasgow League | May | 3 | Wed | H | D | Third Lanark | 0 | 0 | 2,000 | |
| D1 Decider | Glasgow League + Division 1 | 6 | Sat | n | L | Celtic | 1 | 2 | 30,000 | |
| Glasgow League | 8 | Mon | a | W | Queen's Park | 2 | 0 | 3,000 | ||
| Glasgow League | 13 | Sat | a | W | Celtic | 2 | 0 | 7,000 | ||
| 1st | Glasgow M Charity Cup | 15 | Mon | a | L | Partick Thistle | 0 | 5 | 4,000 |
Trivia
May 6th 1905: Fixture doubled as both a Glasgow League fixture and League Championship Decider
March 25th 1905: Game was abandoned in 83rd minute due to Celtic fans invasion after they had a player (Quinn) sent off. Ultimately, Celtic conceded the tie.
