The boat, the Hokule'a, took three years to journey around the globe.
Its crew navigated without modern instruments, using only the stars, wind and ocean swells as guides.
They aimed to use the same techniques that brought the first Polynesian settlers to Hawaii hundreds of years ago.
Hawaii celebrated the Hokule'a's homecoming on Honolulu's Magic Island peninsula on Saturday.
Built in the 1970s, it has travelled around 40,000 nautical miles (74,000km) on this latest trip, known as the Malama Honua voyage, meaning "to care for our Island Earth".