The Church of Tvøroyri stands above the town on a small rise, its red-painted wooden exterior visible from the fjord below. The building dates from 1908, replacing an earlier structure, and is typical of the Faroese national church style — a modest wooden frame with a turf roof on the vestry extension and interior woodwork painted in the pale greens and creams that characterise the island's churches.
The churchyard is worth a slow walk — the headstones record Faroese surnames that have been used on Suðuroy for centuries, and the site has a good view down over the town and across to the fjord. Services are still held here in Faroese; visitors are welcome outside service times.