Paw Paw is a town in Morgan County, West Virginia, United States. The population was 410 at the 2020 census. The town is known for the nearby Paw Paw Tunnel. Paw Paw was incorporated by the Circuit Court of Morgan County on April 8, 1891, and named after pawpaw, a wild fruit that grows in abundance throughout this region. Paw Paw is the westernmost incorporated community in Morgan County, and the Hagerstown-Martinsburg, MD-WV Metropolitan Statistical Area.