Reeds Spring is a city in Stone County, Missouri, United States. The population was 1,136 at the 2020 census. The community has the na…Reeds Spring is a city in Stone County, Missouri, United States. The population was 1,136 at the 2020 census. The community has the name of Fitzhugh Reed, who settled at a spring near the original town site. Reed operated a farm there called Reed's Springs before the town was officially organized in 1906.