Eiði is a municipality of the Faroe Islands. The town of Eiði is the administrative centre. Its area comprises a northwesterly part of the island of Eysturoy. In 2015 it had a population of 687 people. It contains the settlements of Eiði, Ljósá and Svínáir. The municipality contains Lake Eiði, which is situated between Eiði and Ljósá on the northwest side of Eysturoy.