New York, often called New York City to distinguish it from New York State, or nyc

Government

New York City Hall is the oldest City Hall in the United States that still houses its original governmental functions.
New York City has been a metropolitan municipality with a Strong mayor–council form of government^[538] since its consolidation in 1898. In New York City, the city government is responsible for public education, correctional institutions, public safety, recreational facilities, sanitation, water supply, and welfare services.
The mayor and council members are elected to four-year terms. The City Council is a unicameral body consisting of 51 council members whose districts are defined by geographic population boundaries.^[539] Each term for the mayor and council members lasts four years and has a two consecutive-term limit,^[540] which is reset after a four-year break. The New York City Administrative Code, the New York City Rules, and the City Record are the code of local laws, compilation of regulations, and official journal, respectively.^[541][542]

The New York County Courthouse houses the New York Supreme Court and other offices.

Each borough is coextensive with a judicial district of the state Unified Court System, of which the Criminal Court and the Civil Court are the local courts, while the New York Supreme Court conducts major trials and appeals. Manhattan hosts the First Department of the Supreme Court, Appellate Division while Brooklyn hosts the Second Department. There are also several extrajudicial administrative courts, which are executive agencies and not part of the state Unified Court System.
Uniquely among major American cities, New York is divided between, and is host to the main branches of, two different U.S. district courts: the District Court for the Southern District of New York, whose main courthouse is on Foley Square near City Hall in Manhattan and whose jurisdiction includes Manhattan and the Bronx; and the District Court for the Eastern District of New York, whose main courthouse is in Brooklyn and whose jurisdiction includes Brooklyn, Queens, and Staten Island. The U.S. Court of Appeals for the Second Circuit and U.S. Court of International Trade are also based in New York, also on Foley Square in Manhattan.