| Club: | Celtic |
| Season: | 1939–40 |
| Manager: | Willie Maley to February) Jimmy McStay (from February) |
| Stadium: | Celtic Park |
| League: | Emergency League Western Division |
| League Result: | 13th |
| Cup1: | Scottish First Division |
| Cup1 Result: | suspended due to war |
| Cup2: | War Emergency Cup |
| Cup2 Result: | First round |
| Prevseason: | 1938–39 |
| Nextseason: | 1940–41 |
During the 1939–40 Scottish football season, Celtic competed in the Scottish First Division.
See main article: 1939–40 Scottish War Emergency League.
See main article: Scottish War Emergency Cup.