Big cats not only are rare on Hawai'i, but illegal. State law prohibits wildcats like lynxes, jaguars, bobcats, leopards and hybrids, all of which are not native to the islands.
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There are no large land predators in Hawaii. The most common mammals on the islands are monk seals, boars, deer, mongoose, rats, wallabies, and feral cats. There are also no dangerous land snakes.
Alligators are not native to Hawaii so the only place you might see them is at the zoo. Are there crocodiles in Hawaii? Nope! The main Hawaiian lizards you'll find are cute little geckos, which can be spotted in hotels, homes, businesses, restaurants, etc.
Domestic cats (Felis catus) were first brought to Hawai'i aboard sailing ships of European explorers and colonists. The job of these predators was to control mice and rats on the ships during the long voyages.
No wolves in Hawaii. If that was a concern you had – rest easy. Hawaii is labelled as a pretty safe holiday destination. You won't find many apex predators in the landscapes of this tropical island paradise (even snakes).