| Club: | Celtic |
| Season: | 1940–41 |
| Manager: | Jimmy McStay |
| Stadium: | Celtic Park |
| League: | Southern League |
| League Result: | 5th |
| Cup1: | Summer Cup |
| Cup1 Result: | First round |
| Cup2: | Southern League Cup |
| Cup2 Result: | Semi-finalists |
| Prevseason: | 1939–40 |
| Nextseason: | 1941–42 |
During the 1940–41 Scottish football season, Celtic competed in the Southern Football League.
See main article: 1940–41 Southern Football League (Scotland).
See main article: 1940–41 Southern League Cup (Scotland).