Auburn is a city in Cayuga County, New York, United States. Located at the north end of Owasco Lake, one of the Finger Lakes in Central Ne…Auburn is a city in Cayuga County, New York, United States. Located at the north end of Owasco Lake, one of the Finger Lakes in Central New York, the city had a population of 26,866 at the 2020 census. It is the largest city of Cayuga County, the county seat, and the site of the maximum-security Auburn Correctional Facility, as well as the William H. Seward House Museum and the house of abolitionist Harriet Tubman.