Are new york belonged to the french in 1600s?

Answer 1

No, it was claimed by the Dutch, and later the English.

The first European visitor to the area, Giovanni da Verrazzano, named the area New Angoulême, in honor of Francis I, in 1524. European settlement didn't happen until many years later. In 1609, an English explorer, Henry Hudson, working for the Dutch East India Company, sailed his ship up to Albany, and back down to present day New York City; in 1614, the area between Cape Cod and Delaware Bay was claimed for the Netherlands and named New Netherland. Ten years later, a Dutch fur trading post was established on Governors Island, south of present-day Manhattan. Fort Amsterdam, later named New Amsterdam, was centered in what is now Lower Manhattan; the Dutch purchased the island of Manhattan from the Lenape tribe in 1626.

In 1664, the Director-General of New Netherland surrended New Amsterdam to the English, who then renamed the city New York after the Duke of York (later King James II). In 1673, a Dutch captain regained control and renamed it New Orange, after William III, of Orange, but the territory was returned to England the year after that, in whose possession it remained until the American Revolutionary War.

Answer 2

No it began as a Dutch colony.