Burtrum is a city in Todd County, Minnesota, United States. The population was 144 at the 2010 census. By the 2020 Decennial Census, the pop…Burtrum is a city in Todd County, Minnesota, United States. The population was 144 at the 2010 census. By the 2020 Decennial Census, the population had declined to 123. The city is home to the Grey Eagle Burtrum Lions Park and a Grand Army of the Republic cemetery named after Civil War veteran Moses Dane.