Vinje is a municipality in Telemark county, Norway. It is part of the traditional region of Vest-Telemark. The administrative center of the municipality is the village of Åmot.
The municipality of Vinje (originally the parish) is named after the old Vinje farm (Old Norse: Vinjar), since the first church was built here. The name is the plural form of vin which means "meadow" or "pasture".The coat-of-arms is from modern times. They were granted on 16 November 1990. The arms show a silver goat on a blue background. It is a symbol for the goat- and sheep farming in the municipality.