Varna, New YorkVarna is a hamlet located in Tompkins County, New York, United States. It is within the Town of Dryden.Varna is located near the west town line on New York State Route 366. Fall Creek flows past the town to Cayuga Lake.EducationThe CDP is in the Ithaca City School District. The zoned comprehensive high school of the district is Ithaca High School.