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