Klaksvík Municipality is a municipality of the Faroe Islands. The town of Klaksvík is the administrative centre. Its area comprises the majority …Klaksvík Municipality is a municipality of the Faroe Islands. The town of Klaksvík is the administrative centre. Its area comprises the majority of the islands of Borðoy, Kalsoy and Svínoy. Klaksvík's municipal council consists of 11 members, elected every four years.