| Arne Francke | |
| Birth Date: | 6 May 1904 |
| Birth Place: | Stockholm, Sweden |
| Death Place: | Stockholm, Sweden |
| Sport: | Horse riding |
| Club: | K1 IF, Stockholm |
| Show-Medals: | yes |
Arne Edvard Francke (6 May 1904 – 11 March 1973) was a Swedish horse rider. He competed in jumping at the 1932 and 1936 Summer Olympics, both times with the same horse Urfé, and in eventing at the 1932 Olympics. His best result was 25th place in individual jumping in 1936.