北部サーミ語
The municipality is named after the Storfjorden. The first element is "stor" which means "great" or "big", so it basically means "great fjord". After a long debate within the municipality, in 2014 the municipality (and national government) approved co-official names of the municipality in the Northern Sami language and Kven language. or are parallel, co-equal names that can be used interchangeably to refer to the municipality in the three different languages.