Breckenridge is a city in Wilkin County, Minnesota, United States. The population was 3,559 at the 2000 census. It is the county seat of Wilkin County. Breckenridge's twin city is Wahpeton, North Dakota. It is part of the Wahpeton, ND–MN Micropolitan Statistical Area. The Bois de Sioux River and the Otter Tail River join at Breckenridge and Wahpeton to form the Red River of the North.