Fort Greene is a neighborhood in the northwestern part of the New York City borough of Brooklyn. The neighborhood is bounded by Flushing Avenue and the Brooklyn Navy Yard to the north, Flatbush Avenue Extension and Downtown Brooklyn to the west, Atlantic Avenue and Prospect Heights to the south, and Vanderbilt Avenue and Clinton Hill to the east. The Fort Greene Historic District is listed on the New York State Registry and on the National Register of Historic Places and is a New York City designated historic district.

The neighborhood is named after an American Revolutionary War era fort that was built in 1776 under the supervision of General Nathanael Greene of Rhode Island. General Greene aided General George Washington during the Battle of Long Island in 1776. Fort Greene Park, originally called "Washington Park" and Brooklyn's first, is also derived from General Greene's name and from the neighborhood.

Fort Greene is part of Brooklyn Community District 2 and its primary ZIP Codes are 11201, 11205, 11217, and 11238. It is patrolled by the 88th Precinct of the New York City Police Department. Politically it is represented by the New York City Council's 35th District.