Ancient Hawai'i By 24bgordon 300 Polynesians arrived in Hawai'i 1100 More migration into Hawai'i from the Society Islands 1200 The Kapu System is established 1219 Settlement of the island occurs 1625 Spanish Sailors Visited Hawaii 1778 Captain James Cook discovers Hawai'i 1795 King Kamehameha l unifies Hawai'i 1820 Many Hawaiians are converted to Christianity