Asheim is a Norwegian surname. Notable people with the surname include:
Henrik Asheim (born 1983), Norwegian politician for the Conservative Party Lester Asheim (1914–1997), American Professor of Library Science Nils Asheim (1895–1966), Norwegian politician for the Liberal Party Steve Asheim (born 1970), American drummer and songwriter
See also Asheim, Norway, Sunnfjord, Sogn og Fjordane, Norway