Flensburg is a city in Morrison County, Minnesota, United States. The population was 244 at the 2000 census. It is named after the German town of Flensburg, though a less probable theory states that it was first named Flynn's Landing, after J.C. Flynn, one of the founding fathers of the city, the name then transitioning through Flynnsburg to Flensburg. The First Mayor of Flensburg was German. The Majority of Flensburg's population is of Polish Descent.