Claim: The most populous city of New York is New York City.

New York is a state in the northeastern United States , and is the 27th-most extensive , fourth-most populous , and seventh-most densely populated U.S. state . New York is bordered by New Jersey and Pennsylvania to the south and Connecticut , Massachusetts , and Vermont to the east . The state has a maritime border in the Atlantic Ocean with Rhode Island , east of Long Island , as well as an international border with the Canadian provinces of Quebec to the north and Ontario to the northwest . The state of New York , with an estimated 19.8 million residents in 2015 , is also referred to as New York State to distinguish it from New York City , the state 's most populous city and its economic hub .   With an estimated population of 8.55 million in 2015 , New York City is the most populous city in the United States and the premier gateway for legal immigration to the United States . The New York Metropolitan Area is one of the most populous urban agglomerations in the world . New York City is a global city , exerting a significant impact upon commerce , finance , media , art , fashion , research , technology , education , and entertainment , its fast pace defining the term New York minute . The home of the United Nations Headquarters , New York City is an important center for international diplomacy and has been described as the cultural , financial , and media capital of the world , as well as the world 's most economically powerful city . New York City makes up over 40 % of the population of New York State . Two-thirds of the state 's population lives in the New York City Metropolitan Area , and nearly 40 % lives on Long Island . Both the state and New York City were named for the 17th-century Duke of York , future King James II of England . The next four most populous cities in the state are Buffalo , Rochester , Yonkers , and Syracuse , while the state capital is Albany .   New York has a diverse geography . The southern part of the state consists of Long Island and several smaller associated islands , as well as New York City and the lower Hudson River Valley , most of which lie within the wider Atlantic Coastal Plain . The large region known as Upstate New York consists of several ranges of the wider Appalachian Mountains , including the Allegheny Plateau and Catskills along New York 's Southern Tier , and the Adirondack Mountains , Thousand Islands archipelago , and Saint Lawrence Seaway in the Northeastern lobe of the state . These more mountainous regions are bisected by two major river valleys -- the north-south Hudson River Valley and the east-west Mohawk River Valley , which forms the core of the Erie Canal . Western New York is considered part of the Great Lakes Region and straddles Lake Ontario and Lake Erie . Between the two lakes lies Niagara Falls . The central part of the state is dominated by the Finger Lakes , a popular vacation and tourist destination .   New York had been inhabited by tribes of Algonquian and Iroquoian-speaking Native Americans for several hundred years by the time the earliest Europeans came to New York . The first Europeans to arrive were French colonists and Jesuit missionaries who arrived southward from settlements at Montreal for trade and proselytizing . In 1609 , the region was claimed by Henry Hudson for the Dutch , who built Fort Nassau in 1614 at the confluence of the Hudson and Mohawk rivers , where the present-day capital of Albany later developed . The Dutch soon also settled New Amsterdam and parts of the Hudson Valley , establishing the colony of New Netherland , a multicultural community from its earliest days and a center of trade and immigration . The British annexed the colony from the Dutch in 1664 . The borders of the British colony , the Province of New York , were similar to those of the present-day state .   Many landmarks in New York are well known to both international and domestic visitors , with New York State hosting four of the world 's ten most-visited tourist attractions in 2013 : Times Square , Central Park , Niagara Falls -LRB- shared with Ontario -RRB- , and Grand Central Terminal . New York is home to the Statue of Liberty , a symbol of the United States and its ideals of freedom , democracy , and opportunity . In the 21st century , New York has emerged as a global node of creativity and entrepreneurship , social tolerance , and environmental sustainability . New York 's higher education network comprises approximately 200 colleges and universities , including Columbia University , Cornell University , New York University , and Rockefeller University , which have been ranked among the top 35 in the world .