Hendricks is a city in Lincoln County, Minnesota, United States. The population was 713 at the 2010 census. A post office called Hendrick…Hendricks is a city in Lincoln County, Minnesota, United States. The population was 713 at the 2010 census. A post office called Hendricks has been in operation since 1884. The city was named for Thomas A. Hendricks, elected 21st Vice President of the United States in 1884.