Bezmirau was formerly part of the German Empire. In the German Empire, the place was called Bezměrov.
The place is now called Bezměrov and belongs to Czechoslovakia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Bezmirau | Austro-Hungary | Kremsier | before the Treaty of Saint-Germain |
| Bezměrov | Austro-Hungary | Kremsier | before the Treaty of Saint-Germain |
| Bezměrov | Czechoslovakia | Kroměříž | after the Treaty of Saint-Germain |
| Besmirau | German Empire | Kremsier | 1939 |
| Bezměrov | German Empire | Kremsier | 1939 |
| Bezměrov | Czechoslovakia | Kroměříž | 1945 |
| Bezměrov | Czechoslovakia | Jižní Morava | 1992 |