| Date | Competition | Home Team | Score | Score | Away Team | Report | Pictures | Notes |
| JAN | | | | | | | | |
1st
| League Division 1 | Celtic | 3
| 0
| Rangers | Report | Pictures | |
3rd
| League Division 1 | Queen’s Park | 0
| 3
| Celtic | Report | Pictures | |
8th
| League Division 1 | Heart of Midlothian | 2
| 4
| Celtic | Report | Pictures | |
15th
| League Division 1 | Celtic | 5
| 2
| Aberdeen | Report | Pictures | |
22nd
| Scottish Cup | Third Lanark | 1
| 2
| Celtic | Report | Pictures | |
| 29th | League Division 1 | Clyde | 1
| 6
| Celtic | Report | Pictures | |
| FEB | | | | | | | | |
5th
| League Division 1 | Celtic | 4
| 0
| Arbroath | Report | Pictures | |
12th
| Scottish Cup | Celtic | 5
| 0
| Nithsdale Wanderers | Report | Pictures | |
19th
| League Division 1 | St Johnstone | 1
| 2
| Celtic | Report | Pictures | |
26th
| League Division 1 | Celtic | 5
| 1
| St Mirren | Report | Pictures | |
| MAR | | | | | | | | |
5th
| Scottish Cup | Celtic | 1
| 2
| Kilmarnock | Report | Pictures | |
12th
| League Division 1 | Partick Thistle | 1
| 6
| Celtic | Report | Pictures | |
19th
| League Division 1 | Celtic | 1
| 1
| Third Lanark | Report | Pictures | |
26th
| League Division 1 | Celtic | 1
| 1
| Ayr United | Report | Pictures | |
| APR | | | | | | | | |
| 2nd | League Division 1 | Falkirk | 3
| 0
| Celtic | Report | Pictures | |
9th
| League Division 1 | Celtic | 4
| 1
| Motherwell | Report | Pictures | |
16th
| League Division 1 | Dundee | 2
| 3
| Celtic | Report | Pictures | |
18th
| League Division 1 | Celtic | 3
| 0
| Dundee | Report | Pictures | |
23rd
| League Division 1 | St Mirren | 1
| 3
| Celtic | Report | Pictures | Celtic confirmed as champions (19th)
|
30th
| League Division 1 | Celtic | 3
| 0
| Hibernian | Report | Pictures | |
| MAY | | | | | | | | |
| 4 | Glasgow Charity Cup | Celtic | 3 | 2 | Queen’s Park | Report | | |
| 7 | Glasgow Charity Cup | Celtic | 3 | 2 | Partick Thistle | Report | | |
| 14 | Glasgow Charity Cup Final | Celtic | 2 | 0 | Rangers | Report | | Celtic win the Glasgow Charity Cup |
25th
| Empire Exhibition Cup QF
| Celtic
| 0
| 0
| Sunderland
| Report | Pictures | |
26th
| Empire Exhibition Cup QF Replay
| Celtic
| 3
| 1
| Sunderland
| Report | Pictures | |
JUN
| | | | | | | | |
3rd
| Empire Exhibition Cup SF
| Celtic
| 1
| 0
| Heart of Midlothian
| Report | Pictures | |
10th
| Empire Exhibition Cup Final
| Celtic
| 1
| 0
| Everton
| Report | Pictures | Empire Exhibition Trophy Winners
|
| | | | | | | | | |
| | | | | | | | | |
| | Season Review | | | | | | |
| | Statistics 1937-38 | | | | | | |
| | Empire Exhibition Cup
| | | | | | |
| | League Table 1937-38 | | | | | | |
| | Scottish Cup 1937-38 | | | | | | |
| | League Cup 1937-38 | | | | | | |
| | | | | | | | |
| | | | | | | | |
| | Celtic Team Line-Up 1937-38 | | | | | | |
| | | | | | | | | |
| AUG | | | | | | | | |
13
| League Division 1 | Celtic | 9
| 1
| Kilmarnock | Report | Pictures | |
20
| League Division 1 | Hamilton Academicals | 0
| 1
| Celtic | Report | Pictures | |
24
| League Division 1 | Kilmarnock | 0
| 0
| Celtic | Report | Pictures | |
27
| League Division 1 | Celtic | 1
| 2
| Aberdeen | Report | Pictures | |
31
| Glasgow Cup | Celtic | 8
| 1
| Third Lanark | Report | Pictures | First Round |
| SEP | | | | | | | | |
3
| League Division 1 | Heart of Midlothian | 1
| 5
| Celtic | Report
| Pictures
| |
10
| League Division 1 | Celtic | 6
| 2
| Rangers | Report | Pictures | |
14
| League Division 1 | Celtic | 1
| 2
| Hamilton Academicals | Report | Pictures | |
17
| League Division 1 | Clyde | 1
| 4
| Celtic | Report | Pictures | |
24
| League Division 1 | Celtic | 6
| 1
| Raith Rovers | Report | Pictures | |
26
| Glasgow Cup | Celtic | 2
| 1
| Queen’s Park | Report | Pictures | Semi-final |
| OCT | | | | | | | | |
1
| League Division 1 | Albion Rovers | 1
| 8
| Celtic | Report | Pictures | |
12
| League Division 1 | Celtic | 5
| 1
| Queen of the South | Report | Pictures | |
15
| Glasgow Cup | Celtic | 3
| 0
| Clyde | Report | Pictures | Final; Celtic win the Glasgow Cup |
22
| League Division 1 | Partick Thistle | 0
| 0
| Celtic | Report | Pictures | |
29
| League Division 1 | Celtic | 6
| 1
| Third Lanark | Report | Pictures | |
| NOV | | | | | | | | |
5
| League Division 1 | Celtic | 3
| 3
| Ayr United | Report | Pictures | |
12
| League Division 1 | Falkirk | 1
| 1
| Celtic | Report | Pictures | |
19
| League Division 1 | Celtic | 1
| 3
| Motherwell | Report | Pictures | |
26
| League Division 1 | Arbroath | 0
| 2
| Celtic | Report | Pictures | |
| DEC | | | | | | | | |
3
| League Division 1 | Celtic | 5
| 4
| Hibernian | Report | Pictures | |
10
| League Division 1 | St Johnstone | 1
| 1
| Celtic | Report | Pictures | |
17
| League Division 1 | Celtic | 3
| 2
| St Mirren | Report | Pictures | |
24
| League Division 1 | Aberdeen | 3
| 1
| Celtic | Report | Pictures | |
31
| League Division 1 | Celtic | 2
| 2
| Heart of Midlothian | Report | Pictures | |
| | | | | | | | | |