Greene is a village in Chenango County, New York, United States. The population was 1,580 at the 2010 census. The village is named after General Nathanael Greene. It is within the town of Greene and is northeast of Binghamton.

New York State Route 206 (NY 206) is a 74.57-mile-long (120.01 km) state highway in the Southern Tier of New York in the United States. It runs through some lightly populated regions along the state's southern border, from Central New York to the Catskills. It begins near a busy intersection with Interstate 81 (I-81) at Whitney Point and runs east from there through Greene. The eastern terminus is located at a junction with NY 17 at Roscoe in Sullivan County. It is one of the longest three-digit routes in New York, and the only long one not associated with a two-digit route or a former U.S. Route. Yet due to its location it sees little traffic, although for much of its length it follows the route of a main 19th century thoroughfare, the Catskill Turnpike. It is primarily detour around Binghamton.