Manhattan

It is located on the island of the same name.

An excerpt from the article 18 facts about Manhattan

It is also a county in the state of New York, which, apart from Manhattan, includes several smaller islands: Roosevelt Island, Randall’s Island, Wards Island, Liberty Island, Ellis Island Mill Rock, and U Thant Island, as well as Marble Hill-the part of the county located in the mainland, separated from the rest of Manhattan by the Harlem Ship Canal and later connected to the Bronx.

The county’s area coincides with New York County, one of the original counties of the US state of New York.