Ulysses Township is a township in Potter County, Pennsylvania, United States. As of the 2020 census, the township population was 647. There are two Pennsylvania state parks in Ulysses Township. Denton Hill State Park is a ski resort along U.S. Route 6. Lyman Run State Park is in the southern part of the township and is partially in neighboring West Branch Township. Its population includes extreme white supremacy groups, and has done so for about 100 years.