| Date | Competition | Home Team | Score | Score | Away Team | Report | Pictures | Notes |
| JAN | ||||||||
| 1st | League Division 1 | Rangers | 2 |
1 |
Celtic | Report | Pictures | |
| 2nd | League Division 1 | Celtic | 3 |
3 |
Motherwell | Report | Pictures | |
| 17th |
Friendly |
Girvan Amateurs |
2 |
12 |
Celtic |
Report |
Pictures |
|
| 21st | League Division 1 | Celtic | 2 |
0 |
Kilmarnock | Report | Pictures | |
| 24th | League Division 1 | Queen of the South | 2 |
2 |
Celtic | Report | Pictures | Debut for Malcolm Slater |
| 31st | Scottish Cup | Celtic | 4 |
0 |
Albion Rovers | Report | Pictures | |
| FEB | ||||||||
| 7th | League Division 1 | Falkirk | 3 |
2 |
Celtic | Report | Pictures | Stevie Chalmers signed from Ashfield |
| 10th |
Friendly |
Morton |
2 |
1 |
Celtic |
Report |
Pictures |
|
| 18th | Scottish Cup | Celtic | 1 |
1 |
Clyde | Report | Pictures | Roy Paton‘s senior debut |
| 21st | League Division 1 | Third Lanark | 1 |
1 |
Celtic | Report | Pictures | |
| 23rd | Scottish Cup Replay |
Clyde | 3 |
4 |
Celtic | Report | Pictures | Ian Lochhead‘s senior debut |
| 28th | Scottish Cup | Celtic | 2 |
1 |
Rangers | Report | Pictures | |
| MAR | ||||||||
| 4th | League Division 1 | Celtic | 1 |
1 |
Dundee | Report | Pictures | |
| 7th | League Division 1 | Celtic | 3 |
1 |
Dunfermline Athletic | Report | Pictures | |
| 10th | League Division 1 | Celtic | 1 |
2 |
Airdrieonians | Report | Pictures | Stevie Chalmers‘ senior debut |
| 11 | Friendly | Inverness Caledonian | 2 |
4 |
Old Firm Select XI | Report | Pictures | |
| 14th | Scottish Cup | Stirling Albion | 1 |
3 |
Celtic | Report | Pictures | |
| 18th | League Division 1 | St Mirren | 1 |
0 |
Celtic | Report | Pictures | |
| 21st | League Division 1 | Celtic | 2 |
0 |
Partick Thistle | Report | Pictures | |
| 25th | League Division 1 | Celtic | 4 |
0 |
Aberdeen | Report | Pictures | |
| 28th | League Division 1 | Celtic | 3 |
0 |
Hibernian | Report | Pictures | |
| APR | ||||||||
| 4th | Scottish Cup SF |
St Mirren | 4 |
0 |
Celtic | Report | Pictures | |
| 6th | League Division 1 | Raith Rovers | 3 |
1 |
Celtic | Report | Pictures | |
| 8th | League Division 1 | Motherwell | 2 |
0 |
Celtic | Report | Pictures | Debut game for John Kurila |
| 11th | League Division 1 | Stirling Albion | 0 |
1 |
Celtic | Report | Pictures | |
| 18th | League Division 1 | Celtic | 2 |
1 |
Heart of Midlothian | Report | Pictures | |
| MAY |
||||||||
| 2nd |
Glasgow Charity Cup | Rangers |
1 |
1 |
Celtic |
Report |
Pictures |
Celtic progressed on the toss of a coin |
| 9th |
Glasgow Charity Cup | Celtic |
5 |
0 |
Clyde |
Report |
Pictures |
Celtic win the Charity Cup |
Celtic released Sammy Wilson, Frank Meechan, John Jack and John Higgins on frees at the end of the season.
- Season Review
- League Table 1958-59
- Statistics 1958-59
- Scottish Cup 1958-59
- League Cup 1958-59
| Date | Competition | Home Team | Score | Score | Away Team | Report | Pictures | Notes |
| AUG | ||||||||
| 8th | League Cup | Raith Rovers | 2 |
1 |
Celtic | Report | Pictures | Debut for Tommy Mackle; Dick Beattie sold |
| 12th | League Cup | Celtic | 1 |
2 |
Partick Thistle | Report | Pictures | Debut for Bobby Carroll |
| 15th | League Cup | Airdrieonians | 4 |
2 |
Celtic | Report | Pictures | |
| 17th |
Glasgow Cup |
Celtic |
1 |
2 |
Rangers |
Report |
Pictures |
|
| 19th | League Division 1 | Celtic | 2 |
0 |
Kilmarnock | Report | Pictures | Debut for Dan O’Hara |
| 22nd | League Cup | Celtic | 1 |
0 |
Raith Rovers | Report | Pictures | Debut for Charlie Gallacher |
| 26th | League Cup | Partick Thistle | 0 |
2 |
Celtic | Report |
Pictures |
|
| 29th | League Cup | Celtic | 2 |
2 |
Airdrieonians | Report | Pictures | |
| SEP | ||||||||
| 5th | League Division 1 | Rangers | 3 |
1 |
Celtic | Report | Pictures | |
| 12th | League Division 1 | Celtic | 3 |
4 |
Heart of Midlothian | Report | Pictures | |
| 19th | League Division 1 | Raith Rovers | 0 |
3 |
Celtic | Report | Pictures | |
| 26th | League Division 1 | Celtic | 1 |
1 |
Clyde | Report | Pictures | Debuts for John Fallon and John Curran |
| OCT | ||||||||
| 3rd | League Division 1 | Arbroath | 0 |
5 |
Celtic | Report | Pictures | Debut for John Clark |
| 10th | League Division 1 | Celtic | 1 |
1 |
Aberdeen | Report | Pictures | |
| 12th | Friendly | Celtic |
0 |
2 |
Wolverhampton Wanderers |
Report | Pictures | Opening of new floodlights |
| 17th | League Division 1 | Third Lanark | 4 |
2 |
Celtic | Report | Pictures | |
| 24th | League Division 1 | Celtic | 5 |
1 |
Motherwell | Report | Pictures | |
| 31st | League Division 1 | Hibernian | 3 |
3 |
Celtic | Report | Pictures | |
| NOV | ||||||||
| 7th | League Division 1 | Celtic | 2 |
3 |
Ayr United | Report | Pictures | |
| 14th | League Division 1 | Celtic | 4 |
2 |
Dunfermline Athletic | Report | Pictures | |
| 21st | League Division 1 | Stirling Albion | 2 |
2 |
Celtic | Report | Pictures | |
| 28th | League Division 1 | Partick Thistle | 3 |
1 |
Celtic | Report | Pictures | Matt McVittie transferred to St Johnstone |
| DEC | ||||||||
| 5th | League Division 1 | Celtic | 2 |
3 |
Dundee | Report | Pictures | |
| 12th | League Division 1 | Celtic | 0 |
0 |
Airdrieonians | Report | Pictures | |
| 19th | League Division 1 | St Mirren | 0 |
3 |
Celtic | Report | Pictures | |
| 26th | League Division 1 | Kilmarnock | 2 |
1 |
Celtic | Report | Pictures |