| Date | Competition | Home Team | Score | Score | Away Team | Report | Pictures | Notes |
| JAN | | | | | | | | |
| 1st | League Division 1
| Celtic | 1 | 1
| Rangers | Report | Pictures
| Match abandoned due to crowd encroachment
|
| 3rd | Friendly | Dunfermline | 2 | 5 | Celtic | Report | | |
| 8th | Scottish Cup | Arthurlie | 0
| 7
| Celtic | Report | Pictures | |
| 15th | League Division 1 | Celtic | 2
| 1
| Dundee | Report | Pictures | |
| 22nd | Scottish Cup | Third Lanark | 3
| 2
| Celtic | Report | Pictures | |
| 29th | League Division 1 | Celtic | 3
| 1
| Partick Thistle | Report | Pictures | |
| FEB | | | | | | | | |
| 5 | Friendly | Dumbarton | 2
| 3
| Celtic | Report | Pictures | |
| 12th | League Division 1 | Celtic | 3
| 0
| St Mirren | Report | Pictures | Celtic are the Champions! |
19
| Glasgow League | Queen’s Park | 4
| 2
| Celtic
| Report | Pictures | |
| 26 | Friendly | Clyde | 2
| 2
| Celtic | Report | Pictures | |
| MAR | | | | | | | | |
12th
| Friendly
| Sheffield Utd
| 1
| 0
| Celtic
| Report | Pictures | Championship of Great Britain, leg 1
|
19
| Glasgow League | Celtic | 4
| 3
| Third Lanark
| Report | Pictures | |
| APR | | | | | | | | |
09
| Glasgow League | Celtic | 3
| 0
| Clyde
| Report | Pictures | |
| 11th | League Division 1 | Celtic | 0
| 0
| Rangers | Report | Pictures | |
16th
| Friendly
| Celtic
| 1
| 1
| Sheffield United
| Report
| Pictures
| Championship of Great Britain, leg 2
|
20
| Glasgow League | Celtic | 3
| 2
| Rangers
| Report | Pictures | |
23
| Glasgow League | Celtic | 3
| 4
| Queen’s Park
| Report | Pictures | |
25
| Glasgow League | Third Lanark | 2
| 2
| Celtic
| Report | Pictures | |
27
| Glasgow League | Clyde | 3
| 1
| Celtic
| Report | Pictures | |
30
| Glasgow League | Rangers | 4
| 3
| Celtic
| Report | Pictures | |
| MAY | | | | | | | | |
| 7 | Glasgow Charity Cup | Celtic | 0 | 2 | Rangers | Report | | |
| | | | | | | | |
| | Season Review | | | | | | |
| | Statistics 1897-98 | | | | | | |
| | | | | | | | |
| | | | | | | | |
| | League Table 1897-98 | | | | | | |
| | Scottish Cup 1897-98 | | | | | | |
| | | | | | | | |
| | | | | | | | |
| | Celtic Team Line-Up 1898-99 | | | | | | |
| | | | | | | | | |
| AUG | | | | | | | | |
| 20th | League Division 1 | Celtic | 2
| 1
| Third Lanark | Report | Pictures | |
| 27th | League Division 1 | Clyde | 0
| 0
| Celtic | Report | Pictures | |
| SEP | | | | | | | | |
| 3rd | League Division 1 | Celtic | 4
| 1
| St Mirren | Report | Pictures | |
| 10th | League Division 1 | Hibernian | 2
| 1
| Celtic | Report | Pictures | |
17th
| Glasgow Cup 1st Rd
| Celtic
| 7
| 0
| Clyde
| Report
| Pictures
| |
| 19th | League Division 1 | Heart of Midlothian | 2
| 2
| Celtic | Report
| Pictures
| |
| 24th | League Division 1 | Celtic | 0
| 4
| Rangers | Report | Pictures | |
| 26th | League Division 1 | Celtic | 1
| 2
| Hibernian | Report | Pictures | |
| OCT | | | | | | | | |
| 1st | League Division 1 | St Mirren | 4
| 0
| Celtic | Report | Pictures | |
| 8th | League Division 1 | Celtic | 1
| 0
| St Bernard’s | Report | Pictures | |
15th
| Glasgow Cup SF
| Rangers
| 1
| 1
| Celtic
| Report
| Pictures | Att – 30,000.
|
22nd
| Glasgow Cup SF Replay
| Celtic
| 1
| 2
| Rangers
| Report
| Pictures
| |
| 29th | League Division 1 | St Bernard’s | 2
| 3
| Celtic | Report | Pictures | |
| NOV | | | | | | | | |
| 5th | League Division 1 | Celtic | 9
| 2
| Clyde | Report | Pictures | |
| 19th | League Division 1 | Dundee | 1
| 4
| Celtic | Report | Pictures | |
| 26th | League Division 1 | Celtic | 4
| 0
| Partick Thistle | Report | Pictures | |
| DEC | | | | | | | | |
| 3rd | League Division 1 | Partick Thistle | 3
| 8
| Celtic | Report | Pictures | |
| 17th | League Division 1 | Celtic | 3
| 2
| Heart of Midlothian | Report | Pictures | First Celtic match in which a non-white player had played in.
|
| 26 | Friendly | Sunderland | 0 | 1 | Celtic | Report | | |
| 31st | League Division 1 | Third Lanark | 2
| 4
| Celtic | Report | Pictures | |
| | | | | | | | | |