Port Washington is a village in Tuscarawas County, Ohio, United States. The population was 552 at the 2000 census. As of the census of 2000, there were 552 people, 204 households, and 161 families residing in the village. The population density was 1,091.2 people per square mile (417.9/Sq/km). There were 213 housing units at an average density of 421.1 per square mile (161.3/Sq/km). The racial makeup of the village was 97.83% White, 0.18% African American, 0.54% from other races, and 1.45% from two or more races. Hispanic or Latino of any race were 1.27% of the population. According to the United States Census Bureau, the village has a total area of 0.5 square miles (1.3km2), all of it land.