| Club: | Celtic |
| Season: | 1938–39 |
| Manager: | Willie Maley |
| Stadium: | Celtic Park |
| League: | Scottish First Division |
| League Result: | 2nd |
| Cup1: | Scottish Cup |
| Cup1 Result: | 4th Round |
| Prevseason: | 1937–38 |
| Nextseason: | 1939–40 |
During the 1938–39 Scottish football season, Celtic competed in the Scottish First Division.
See main article: 1938–39 Scottish Division One.
See main article: 1938–39 Scottish Cup.