Bystrá nad Jizerou was formerly part of the German Empire. In the German Empire, the place was called Bystrá nad Jizerou.
The place is now called Bystrá nad Jizerou and belongs to Czechoslovakia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Bystra | Austro-Hungary | Semil | before the Treaty of Saint-Germain |
| Bystrá | Austro-Hungary | Semil | before the Treaty of Saint-Germain |
| Bystrá nad Jizerou | Czechoslovakia | Semily | after the Treaty of Saint-Germain |
| Bistra an der Iser | German Empire | Semil | 1939 |
| Bystrá nad Jizerou | German Empire | Semil | 1939 |
| Bystrá nad Jizerou | Czechoslovakia | Semily | 1945 |
| Bystrá nad Jizerou | Czechoslovakia | Východní Čechy | 1992 |