Giæver (IPA: ) is a Norwegian surname that may refer to
- Anders Giæver (born 1961), Norwegian journalist and author
- Ivar Giaever (born 1929), Norwegian-American physicist
- Jo Giæver Tenfjord (1918–2007), Norwegian librarian, children's writer and translator
- Joachim Giæver (1856–1925), Norwegian-born American civil engineer
- John Schjelderup Giæver (1901–1970), Norwegian author and polar researcher
- Giaever Glacier in Antarctica
- Giaever Ridge in Antarctica
- Knut T. Giæver (1926–2015), Norwegian publisher
- Morten Giæver (born 1982), Norwegian football midfielder
- Ola Krogseng Giæver (1885–1945), Norwegian farmer and politician
- Ole Giæver (born 1977), Norwegian film director, screenwriter and actor
- Torbjørn Giæver Eriksen (born 1970), Norwegian politician
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