| Birth Date: | 29 May 1932 |
| Birth Place: | Skinnskatteberg, Sweden |
| Height: | 177 cm |
| Sport: | Greco-Roman wrestling |
| Club: | Örgryte IS Uddevalla IS |
| Show-Medals: | yes |
Rune Jansson (29 May 1932 - 24 November 2018) was a Swedish Greco-Roman wrestler. He competed at the 1956 and 1960 Olympics and won a bronze medal in 1956. He won another bronze at the 1958 World Championships, finishing fourth in 1955 and 1962.