The president of Rapa Nui's indigenous Ma'u Henua community said the case was confirmed today following a first case two days ago.
Camilo Rapu said it was not known how the first person, a Chilean woman living on the island, contracted the illness as she had not been overseas or believed to be in contact with an infected person.
Mr Rapu said none of the woman's family was showing any symptoms.
Nothing was known yet about the second case as the community was in isolation.