Algood is a city in Putnam County, Tennessee, United States. The population was 3,963 at the 2020 census. It is part of the Cookeville …Algood is a city in Putnam County, Tennessee, United States. The population was 3,963 at the 2020 census. It is part of the Cookeville Micropolitan Statistical Area. While Algood was not established until the late 19th century, in the early 19th century a small community developed just south of modern Algood at White Plains, an antebellum plantation and important stopover along the Walton Road. In the 1880s, the Nashville & Knoxville Railroad erected a depot at what is now Algood. The land on which the depot was built was purchased from a circuit rider and early settler named Joel Algood, and thus the train stop was named after him. For a period of time the area would be called Algood's Old Fields. In 1899, the Algood Methodist Church was built on land donated by the children of this early settler. Algood was initially incorporated in 1901, but repealed its own charter two years later. The town reincorporated in 1911.