Oak Hill is a hamlet within the town of Durham in Greene County, New York, United States. Its elevation is 643 feet above sea level. It has the ZIP Code 12460 and the Telephone Area Code 518.It is the location of Oak Hill Methodist Episcopal Church, and the Oak Hill Cemetery, which are listed on the U.S. National Register of Historic Places. The Catskill Creek and Tenmile Creek are prominent features in the landscape of the community. Oak Hill is home to one of the Twelve Tribes communities.