| Matches: Year By Year | Pictures: Year By Year |
| Celtic Games Played:- | 1937 |
| Other Match Pages:- | 1936 | 1938 |
| Decade of Matches:- | 1931-40 |
| Picture Pages:- | 1936 | 1937 | 1938 |
| League Tables:- | 1936-37 | 1937-38 |
| Date | Competition | Home Team | Score | Score | Away Team | Report | Pictures | Notes |
| JAN | ||||||||
| 1st | League Division 1 | Rangers | 1 | 0 | Celtic | Report | Pictures | |
| 2nd | League Division 1 | Celtic | 4 | 0 | Queen’s Park | Report | Pictures | |
| 9th | League Division 1 | Kilmarnock | 3 | 3 | Celtic | Report | Pictures | |
| 16th | League Division 1 | Celtic | 3 | 3 | Hamilton Academicals | Report | Pictures | |
| 23rd | League Division 1 | Aberdeen | 1 | 0 | Celtic | Report | Pictures | |
| 30th | Scottish Cup | Stenhousemuir | 1 | 1 | Celtic | Report | Pictures | |
| FEB | ||||||||
| 3rd | Scottish Cup Replay | Celtic | 2 | 0 | Stenhousemuir | Report | Pictures | |
| 6th | League Division 1 | Celtic | 3 | 2 | Heart of Midlothian | Report | Pictures | |
| 13th | Scottish Cup | Albion Rovers | 2 | 5 | Celtic | Report | Pictures | |
| 20th | League Division 1 | Celtic | 1 | 2 | Dundee | Report | Pictures | |
| 27th | Scottish Cup | East Fife | 0 | 3 | Celtic | Report | Pictures | |
| MAR | ||||||||
| 6th | League Division 1 | Hibernian | 2 | 2 | Celtic | Report | Pictures | |
| 17th | Scottish Cup | Celtic | 4 | 4 | Motherwell | Report | Pictures | |
| 20th | League Division 1 | St Mirren | 1 | 2 | Celtic | Report | Pictures | |
| 24th | Scottish Cup Replay | Motherwell | 1 | 2 | Celtic | Report | Pictures | |
| 27th | League Division 1 | Celtic | 1 | 1 | Partick Thistle | Report | Pictures | |
| 29th | League Division 1 | Celtic | 1 | 0 | Falkirk | Report | Pictures | |
| APR | ||||||||
| 3rd | Scottish Cup SF | Celtic | 2 | 0 | Clyde | Report | Pictures | |
| 6th | League Division 1 | Third Lanark | 4 | 2 | Celtic | Report | Pictures | |
| 10th | League Division 1 | Dunfermline Athletic | 3 | 4 | Celtic | Report | Pictures | |
| 16th | League Division 1 | Celtic | 5 | 1 | Arbroath | Report | Pictures | |
| 24th | Scottish Cup Final | Celtic | 2 | 1 | Aberdeen | Report | Pictures | Cup winners and European record club attendance: 146,433 – unofficial 147,365 |
| 30th | League Division 1 | Motherwell | 8 | 0 | Celtic | Report | Pictures | RECORD DEFEAT |
| MAY | ||||||||
| 8 | Glasgow Charity Cup | Celtic | 3 | 1 | Clyde | Report | ||
| 15 | Glasgow Charity Cup Final | Celtic | 4 | 3 | Queen’s Park | Report | Celtic win the Glasgow Charity Cup |
- Season Review
- Statistics 1936-37
- League Table 1936-37
- Scottish Cup, Fixtures & Results 1936-37
- League Cup 1936-37
- Celtic Team Line-Up 1937-38
| Date | Competition | Home Team | Score | Score | Away Team | Report | Pictures | Notes |
| AUG | ||||||||
| 14th | League Division 1 | Queen of the South | 2 | 2 | Celtic | Report | Pictures | |
| 18th | League Division 1 | Hamilton Academicals | 1 | 2 | Celtic | Report | Pictures | |
| 21st | League Division 1 | Celtic | 4 | 0 | Morton | Report | Pictures | |
| 25th | League Division 1 | Celtic | 2 | 2 | Queen of the South | Report | Pictures | |
| 28th | League Division 1 | Kilmarnock | 2 | 1 | Celtic | Report | Pictures | |
| SEP | ||||||||
| 4th | League Division 1 | Celtic | 4 | 2 | Hamilton Academicals | Report | Pictures | |
| 11th | League Division 1 | Rangers | 3 | 1 | Celtic | Report | Pictures | |
| 15th | League Division 1 | Morton | 2 | 3 | Celtic | Report | Pictures | |
| 18th | League Division 1 | Celtic | 2 | 1 | Heart of Midlothian | Report | Pictures | |
| 25th | League Division 1 | Aberdeen | 1 | 1 | Celtic | Report | Pictures | |
| OCT | ||||||||
| 2nd | League Division 1 | Celtic | 3 | 1 | Clyde | Report | Pictures | |
| 6th | Friendly | Sunderland | 0 | 2 | Celtic | Report | Pictures | Meeting between Scottish & English league champions |
| 9th | League Division 1 | Arbroath | 2 | 0 | Celtic | Report | Pictures | |
| 16th | League Division 1 | Celtic | 4 | 3 | Queen’s Park | Report | Pictures | McGrory’s last goal for Celtic |
| 23rd | League Division 1 | Celtic | 6 | 0 | St Johnstone | Report | Pictures | |
| NOV | ||||||||
| 6th | League Division 1 | Celtic | 6 | 0 | Partick Thistle | Report | Pictures | |
| 13th | League Division 1 | Third Lanark | 1 | 1 | Celtic | Report | Pictures | |
| 20th | League Division 1 | Ayr United | 1 | 1 | Celtic | Report | Pictures | |
| 27th | League Division 1 | Celtic | 2 | 0 | Falkirk | Report | Pictures | |
| DEC | ||||||||
| 4th | League Division 1 | Motherwell | 1 | 2 | Celtic | Report | Pictures | |
| 18th | League Division 1 | Hibernian | 0 | 3 | Celtic | Report | Pictures | |
| 25th | League Division 1 | Celtic | 8 | 0 | Kilmarnock | Report | Pictures |