Eidem is a surname. Notable people with the surname include:
Ane Eidem (born 1993), Norwegian handballer Bjarne Mørk Eidem (1936–2022), Norwegian politician Erling Eidem (1880–1972), Swedish theologian and Lutheran archbishop Johan Lauritz Eidem (1891–1984), Norwegian politician Knut Eidem (1918–2009), Norwegian journalist and non-fiction writer Odd Eidem (1913–1988), Norwegian writer, journalist and literary critic Paul Lorck Eidem (1909–1992), Norwegian writer and illustrator Thomas Eidem (1859–1954), Norwegian schoolteacher and politician