Rimbach was formerly part of the German Empire. In the German Empire, the place was called Rimbach.
The place is now called Rimbach-près-Masevaux and belongs to France.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Rimbach | German Empire | Thann | before the Versailles Treaty |
| Rimbach | France | Haut-Rhin | after the Versailles Treaty |
| Rimbach | German Empire | Tann | 1940 |
| Rimbach-près-Masevaux | France | Haut-Rhin | 1945 |
| Rimbach-près-Masevaux | France | Haut-Rhin | 1993 |