Bystra was formerly part of the German Empire. In the German Empire, the place was called Bistrai.
The place is now called Bystra and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Bystra | Austro-Hungary | Saybusch/Żywiec | before the Treaty of Saint-Germain |
| Bystra | Poland | Żywiec | after the Treaty of Saint-Germain |
| Bistrai | German Empire | Saybusch | 1939 |
| Bystra | Poland | Żywiec | 1945 |
| Bystra | Poland | Bielsko | 1992 |