The municipal council consists of seven members elected every four years.

A 100 metres (330 ft) long pipe, capable of holding some 17,000,000 m³ of water, feeds the plant, running from a tunnel leading up a nearby mountain.

[4] Slættaratindur, the highest mountain in the Faroe Islands, with an elevation of 880 metres (2,890 ft) is located between the villages of Eiði, Gjógv, and Funningur.

In 1879 the locals of Eiði showed interest in becoming an independent municipality, which happened in 1894.

[1] Eiði is the seat of the municipality, located in the northern part of the municipality, south of the Niðara Vatn lake and north west of Lake Eiði.

The southern parts of Eiði mainly consists of an industrial fishery harbour.

The central parts of Eiði consists of mainly residential buildings, with a few facilities.

[8] Located just east of Eiði is the LORAN-C transmitter Ejde.

[11][12] The Slættaratindur is the highest mountain in the Faroe Islands, located east of the village of Eiði.

The first turbine of the plant was started on April 28, 1987 and expansions were made in 1997 and 2000.

This museum is called Látrið, and it is located centrally in Eiði, set in a restored farmhouse from 1840.

It was founded on September 18, 1881 and was designed in 1879 by Danish architect Hans Christian Amberg.