Unity is a city in Baker County, Oregon, United States, located in the Burnt River Valley. The population was 71 at the 2010 census. The town w…Unity is a city in Baker County, Oregon, United States, located in the Burnt River Valley. The population was 71 at the 2010 census. The town was never platted. A post office was established in Unity in 1891. A sawmill existed for some time. The Unity Ranger Station, which was built by the Civilian Conservation Corps, is listed on the National Register of Historic Places. In 2017, Unity experienced a total solar eclipse.