Hedevig may refer to:

Hedevig Johanne Bagger (1740-1822), Danish inn-keeper and postmaster Hedevig Lund (1824–1888), Norwegian painter Ida Hedevig Moltke (1744–1816), Danish countess and letter writer Hedevig Rasmussen (1902–1985), Danish freestyle swimmer who competed in the 1924 Summer Olympics Hedevig Rosing (1827–1913), author, educator, school founder; first woman to teach in Copenhagen's public schools Hedevig Ulfeldt, (1626–1678), daughter of king Christian IV of Denmark and Kirsten Munk