The city of Eleele Hawaii is a census-designated place in Kauai county. The nearest large city is Honolulu, Hawaii and Eleele's major airport is Lihue Airport. Search Eleele government offices, clerks and agencies to request or search for local citywide records. Instant sex offender searches, jail and inmate lists. Request a background criminal record search locally or statewide. Search municipal and city courts to get marriage information, divorces and other civil or criminal cases.