Marietta is a city in Lac qui Parle County, Minnesota, United States on Minnesota State Highway 40 near the South Dakota border. The pop…Marietta is a city in Lac qui Parle County, Minnesota, United States on Minnesota State Highway 40 near the South Dakota border. The population was 162 at the 2010 census. Marietta was platted in 1884. A post office has been in operation at Marietta since 1884. A share of the early settlers were natives of Marietta, Ohio. The city was incorporated in 1899.