Bystřička was formerly part of the German Empire. In the German Empire, the place was called Bystřička.
The place is now called Bystřička and belongs to Czechoslovakia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Bistřička | Austro-Hungary | Wsetin | before the Treaty of Saint-Germain |
| Bystřička | Austro-Hungary | Wsetin | before the Treaty of Saint-Germain |
| Bystřička | Czechoslovakia | Vsetín | after the Treaty of Saint-Germain |
| Klein-Bistritz | German Empire | Wsetin | 1939 |
| Bystřička | German Empire | Wsetin | 1939 |
| Bystřička | Czechoslovakia | Vsetín | 1945 |
| Bystřička | Czechoslovakia | Severní Morava | 1992 |