Muhlbach was formerly part of the German Empire. In the German Empire, the place was called Mühlbach.
The place is now called Muhlbach-sur-Munster and belongs to France.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Mühlbach (Elsaß) | German Empire | Colmar | before the Versailles Treaty |
| Muhlbach | France | Haut-Rhin | after the Versailles Treaty |
| Mühlbach | German Empire | Kolmar | 1940 |
| Muhlbach-sur-Munster | France | Haut-Rhin | 1945 |
| Muhlbach-sur-Munster | France | Haut-Rhin | 1993 |