| Club: | Celtic |
| Season: | 1936–37 |
| Manager: | Willie Maley |
| Stadium: | Celtic Park |
| League: | Scottish First Division |
| League Result: | 3rd |
| Cup1: | Scottish Cup |
| Cup1 Result: | Winners |
| Prevseason: | 1935–36 |
| Nextseason: | 1937–38 |
During the 1936–37 Scottish football season, Celtic competed in the Scottish First Division.
See main article: 1936–37 Scottish Division One.
See main article: 1936–37 Scottish Cup.