Grahamsville is a hamlet at the junction of NY 42 and 55 in the Town of Neversink, in Sullivan County, New York, United States. It is near the western end of Rondout Reservoir, and is the southernmost community in the Catskill Park. It has the ZIP Code 12740 and the 985 telephone exchange in the 845 area code.Grahamsville is located at latitude 41.848 and longitude -74.548. The elevation is 968 feet. Grahamsville is in the Eastern Time Zone.Grahamsville in the town of Neversink, was long known in the area as being a "dry town" as the sale of alcohol was forbidden. On December 17, 2015, the first alcohol in over 80 years was legally served in Grahamsville at the Eureka Market & Café.The center of Grahamsville, mainly located along Route 55 and Chestnut Creek west of Route 42, consists of the town hall, post office, fire department, and some other businesses, with an adjoining residential area.