Leeds is a town in Washington County, Utah, United States. The population was 820 at the 2010 census. Formerly known as Bennington, Leeds was formed due to flooding in the neighboring town of Harrisburg. The residents in the flood-affected areas decided to move to this area in 1867. It was renamed in honor of Leeds in England, the origin of man…Leeds is a town in Washington County, Utah, United States. The population was 820 at the 2010 census. Formerly known as Bennington, Leeds was formed due to flooding in the neighboring town of Harrisburg. The residents in the flood-affected areas decided to move to this area in 1867. It was renamed in honor of Leeds in England, the origin of many of its settlers. In recent years, the city's proximity to the ghost town of Silver Reef, the Pine Valley Mountains, and Zion National Park have changed the local economic base from agriculture to tourism.