Fox Lake Township is a township in Martin County, Minnesota, United States. The population was 289 at the 2000 census. Fox Lake Township was organized in 1872, and named for its Fox Lake. According to the United States Census Bureau, the township has a total area of 35.6 square miles, of which 34.1 square miles is land and 1.5 square mile…Fox Lake Township is a township in Martin County, Minnesota, United States. The population was 289 at the 2000 census. Fox Lake Township was organized in 1872, and named for its Fox Lake. According to the United States Census Bureau, the township has a total area of 35.6 square miles, of which 34.1 square miles is land and 1.5 square miles is water.