Krk is the main settlement of the island of Krk, Croatia. The town shares its name with the island of Krk, which is derived from the Latin name for …Krk is the main settlement of the island of Krk, Croatia. The town shares its name with the island of Krk, which is derived from the Latin name for the island, Curitarum. It is located on the southwest coast of the island and is the historical seat of the Roman Catholic Diocese of Krk.