Surfer on the beach in Waikoloa. Big Island. To enter the Pu'uhonua O Honaunau National Historical Park is necessary to buy a ticket that costs five flycatchers and is valid for one week. The Lapakahi State Historical Park is free and the Polynesian Cultural Center offers tickets ranging between 43 and 65 dollars depending on whether the input is acquired only includes buffet or Ali'i Luau.