Kvaran is a surname. Notable people with the surname include:
Brynjar Kvaran (born 1958), Icelandic handball player Einar Hjörleifsson Kvaran (1859–1938), Icelandic editor, novelist, poet, playwright and spiritualist Einar Ragnarsson Kvaran (1920–2012), Icelandic engineer, teacher, genealogist and writer Gunnar Kvaran (born 1944), Icelandic cellist Karl Kvaran (1924–1989), Icelandic painter and draughtsman