Oddvar Torsheim (born 2 November 1938) is a Norwegian painter, illustrator and musician.
Torsheim was born in Bergen to teachers Herman Johan Torsheim and Jenny Pauline Høvik.
Among his publications are Syner i syttiåra from 1980, and Svarte kvitingar i 80-åra from 1988.
His book illustrations include Cindy Haug's children's book Her der – helt nær from 1983 and Ingvar Moe's essay collection Frå oppvaskkummen, and he recorded the music albums Nynorskens skog in 1992 and Tur-retur Blues in 2000.
He is represented with artworks in the Norwegian Museum of Contemporary Art in Oslo.