Kvæfjord is a municipality in Troms county, Norway. It is part of the Hålogaland traditional region. The administrative centre of the municipality is the village of Borkenes.Together with Harstad, the two municipalities cover a large part of the island of Hinnøya in the southern part of the Troms. Kvæfjord consists mostly of mountains and fjords. The fjord Kvæfjord is a central part.
Kvæfjord is also where the Norwegian national cake originally comes from.Kvæfjord was established as a municipality on 1 January 1838 . On 25 October 1956, a part of Kvæfjord (population: 32) was transferred to neighboring Trondenes municipality. The district of Godfjorden was transferred from Kvæfjord to Sortland municipality on 1 January 2000.