Lac qui Parle is a French translation of the native Dakota name, "Mde Lyedan," meaning "lake that speaks".
[2][3] The state park was built as part of the Lac qui Parle Flood Control Project.
Lac qui Parle itself is a widening of the Minnesota River, and the flood control project involved building a dam at the south end of the lake.
The dam was constructed by the Works Progress Administration, and other projects were built along the lake.
Three structures are included in the National Register of Historic Places, including the Model Shelter, which houses a relief map (cast in reinforced concrete) of the Lac qui Parle Flood Control System and the Minnesota River Valley; the kitchen shelter; and the sanitation building.