This ancient diocese fell into disuse in the 14th century with the death of Bishop Álfur in 1378.

The Church of Greenland, in common with other institutions within the territory, is governed from Denmark, but with a large measure of autonomy.

[2][3] In common with other evangelical episcopal Lutheran churches, the Church of Greenland recognises the historic three-fold ministry of bishops, priests, and deacons; it acknowledges the two dominical sacraments of baptism and the eucharist; it provides liturgies for other rites including confirmation, marriage, ordination, confession, and burial; its faith is based on scripture, the ancient creeds of the Church, and the Augsburg Confession.

The clergy, who work with local parish councils, but are ordained and supervised by the bishop, work in a network of seventeen parishes, with churches and chapels across Greenland.

Four senior priests hold the title of 'Dean' - one as Dean of the cathedral church, and three as Area Deans for the three deaneries, an administrative structure between the level of the diocese and that of the local parishes.