West Point is a city in Lee County, Iowa, United States. The population was 921 at the time of the 2020 census. It is part of the Fort Madison…West Point is a city in Lee County, Iowa, United States. The population was 921 at the time of the 2020 census. It is part of the Fort Madison–Keokuk, IA-MO Micropolitan Statistical Area. West Point was incorporated on March 25, 1858. The name of West Point was chosen by officers of the garrison at Fort Des Moines.