Lihue or Līhuʻe is an unincorporated community, census-designated place and the county seat of Kauai County, Hawaii, United States. Lihue is the second-largest town on the Hawaiian island of Kauaʻi af…Lihue or Līhuʻe is an unincorporated community, census-designated place and the county seat of Kauai County, Hawaii, United States. Lihue is the second-largest town on the Hawaiian island of Kauaʻi after Kapaʻa. As of the 2010 census, the CDP had a population of 6,455, up from 5,694 at the 2000 census.