| Date | Competition | Home Team | Score | Score | Away Team | Report | Pictures | Notes |
| JAN | ||||||||
| 1st | League Division A | Rangers | 4 |
1 |
Celtic | Report | Pictures | |
| 3rd | League Division A | Celtic | 4 |
1 |
Raith Rovers | Report | Pictures | |
| 8th | League Division A | Kilmarnock | 1 |
2 |
Celtic | Report | Pictures | |
| 22nd | League Division A | Queen of the South | 0 |
2 |
Celtic | Report | Pictures | |
| 29th | League Division A | Celtic | 2 |
0 |
Heart of Midlothian | Report | Pictures | |
| FEB | ||||||||
| 5th | Scottish Cup | Alloa Athletic | 2 |
4 |
Celtic | Report | Pictures | |
| 12th | League Division A | Falkirk | 1 |
1 |
Celtic | Report | Pictures | |
| 19th | Scottish Cup | Kilmarnock | 1 |
1 |
Celtic |
Report | Pictures | |
| 23rd | Scottish Cup Replay |
Celtic |
1 |
0 |
Kilmarnock | Report | Pictures | |
| 26th | League Division A | Celtic | 5 |
2 |
St Mirren | Report | Pictures | |
| MAR | ||||||||
| 5th | Scottish Cup | Celtic | 2 |
1 |
Hamilton Academicals | Report | Pictures | |
| 9th | League Division A | Stirling Albion | 2 |
3 |
Celtic | Report | Pictures | |
| 12th | League Division A | Celtic | 0 |
0 |
Partick Thistle | Report | Pictures | |
| 19th | League Division A | Celtic | 1 |
0 |
Motherwell | Report | Pictures | |
| 26th | Scottish Cup SF |
Celtic | 2 |
2 |
Airdrieonians | Report | Pictures | Celtic sign Bertie Auld from Maryhill Harp. |
| 30th | League Division A | East Fife | 3 |
4 |
Celtic | Report | Pictures | First game of the season for John McPhail |
| APR | ||||||||
| 2nd | League Division A | Celtic | 1 |
2 |
Hibernian | Report | Pictures | John Reid’s debut |
| 4th | Scottish Cup SF Replay |
Celtic | 2 |
0 |
Airdrieonians | Report | Pictures | |
| 9th | League Division A | Dundee | 0 |
1 |
Celtic | Report | Pictures | Aberdeen win the League title |
| 16th | League Division A | Celtic | 2 |
1 |
Aberdeen | Report | Pictures | Celtic sign Duncan MacKay from Maryhill Harp |
| 23rd |
Scottish Cup Final |
Clyde |
1 |
1 |
Celtic |
Report | Pictures | |
| 27th | Scottish Cup Final Replay |
Clyde | 1 |
0 |
Celtic | Report |
Pictures |
|
| 30th | League Division A | Heart of Midlothian | 0 |
3 |
Celtic | Report |
Pictures |
Celtic finish second in the League |
| MAY | ||||||||
| 7th |
Glasgow Charity Cup | Celtic |
0 |
1 |
Rangers |
Report |
Pictures |
Benny McCreadie signed from Renfrew Juniors |
| 13th |
Friendly | Shamrock Rovers | 0 |
2 |
Celtic |
Report | Pictures | In aid of the Irish Red Cross Society |
| 15th |
Friendly |
Waterford XI | 2 |
2 |
Celtic |
Report | Pictures | |
| 17th |
Friendly |
Derry City XI |
2 |
1 |
Celtic |
Report | Pictures |
Notes:
- Celtic gave Jimmy Duncan a free transfer and joined St Mirren. Eamon McMahon was released and joined Glentoran. Andrew Bell released and joined Airdrieonians
Notes:
- Celtic signed Matt McVittie from from Wishaw
- The size of League A was increased from 16 teams to 18 teams with demoted Stirling Albion and Motherwell re-included.
- Changes were also made in League B dividing it into East and West sections.
| Date | Competition | Home Team | Score | Score | Away Team | Report | Pictures | Notes |
| AUG | ||||||||
| 9th |
Friendly |
Green & Whites |
6 |
2 |
White & Greens |
Report |
Pictures |
Second Celtic Open trial at the start of the new season |
| 13th | League Cup | Celtic | 4 |
2 |
Queen of the South | Report | Pictures | |
| 17th | League Cup | Queen of the South | 0 |
2 |
Celtic | Report | Pictures | |
| 20th | League Cup | Celtic | 5 |
1 |
Falkirk | Report | Pictures | |
| 23rd |
Glasgow Cup |
Celtic |
4 |
0 |
Clyde |
Report |
Pictures |
First team debut for Matt McVittie. |
| 27th | League Cup | Rangers | 1 |
4 |
Celtic | Report | Pictures | |
| 31st | League Cup | Celtic | 0 |
4 |
Rangers | Report | Pictures | |
| SEP | ||||||||
| 3rd | League Cup | Falkirk | 1 |
1 |
Celtic | Report | Pictures | Debuts for Dick Beattie and Jimmy Docherty ; bottle throwing game |
| 9th |
Glasgow Cup |
Partick Thistle |
0 |
2 |
Celtic |
Report |
Pictures |
|
| 10th | League Division A | Falkirk | 3 |
1 |
Celtic | Report | Pictures | First team debut for Billy Craig |
| 17th | League Division A | Celtic | 3 |
0 |
Stirling Albion | Report | Pictures | |
| 24th | League Division A | Rangers | 0 |
0 |
Celtic | Report | Pictures | |
| 26th |
Glasgow Cup Final |
Celtic |
1 |
1 |
Rangers |
Report |
Pictures |
|
| OCT | ||||||||
| 1st | League Division A | Celtic | 2 |
0 |
Raith Rovers | Report | Pictures | First team debut for Jim Sharkey |
| 8th | League Division A | Heart of Midlothian | 2 |
1 |
Celtic | Report | Pictures | |
| 15th | League Division A | Celtic | 2 |
2 |
Motherwell | Report | Pictures | |
| 22nd | League Division A | Clyde | 1 |
3 |
Celtic | Report | Pictures | |
| 29th | League Division A | Celtic | 4 |
2 |
Dunfermline Athletic | Report | Pictures | |
| NOV | ||||||||
| 5th | League Division A | Celtic | 0 |
0 |
East Fife | Report | Pictures | Celtic sign Jim Kennedy from Duntocher Hibs |
| 12th | League Division A | Dundee | 1 |
2 |
Celtic | Report | Pictures | |
| 19th | League Division A | Celtic | 3 |
0 |
St Mirren | Report | Pictures | |
| 26th | League Division A | Airdrieonians | 1 |
2 |
Celtic | Report | Pictures | |
| DEC | ||||||||
| 3rd | League Division A | Stirling Albion | 0 |
3 |
Celtic | Report | Pictures | |
| 10th | League Division A | Celtic |
0 |
2 |
Kilmarnock | Report | Pictures | |
| 17th | League Division A | Celtic | 5 |
1 |
Partick Thistle | Report | Pictures | Debut for Peter Goldie; Jimmy Rowan loaned to Stirling Albion |
| 24th | League Division A | Hibernian | 2 |
3 |
Celtic | Report | Pictures | James Docherty, John Reid loaned to Alloa; |
| 26th |
Glasgow Cup |
Celtic |
5 |
3 |
Rangers |
Report |
Pictures |
Celtic win Glasgow Cup for the first time since 1948 |
| 31st | League Division A | Queen of the South | 1 |
3 |
Celtic | Report | Pictures | John Donnelly signed provisionally from Armadale Thistle |