Belmore, WashingtonBelmore is an unincorporated community in Thurston County, in the U.S. state of Washington. The community lies east of nearby Black Lake and is approximately southwest of Tumwater.HistoryBelmore had a post office from 1895 until 1897.Parks and recreationBelmore is home to Kenneydell Park located on Black Lake. The park features a swimming area with a dock, picnic areas, and a gravel beach. The Gate to Belmore Trail, a rail trail, spans from the community through the Gate and Littlerock region.