Park River is a city in Walsh County, North Dakota, United States. The population was 1,424 at the 2020 census. Park River was founded in …Park River is a city in Walsh County, North Dakota, United States. The population was 1,424 at the 2020 census. Park River was founded in 1884. In 1903, a Park River blacksmith named Samuel Holland built a motor car called the Holland Special. He built at least five more cars between 1903 and 1908.