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