Damírov was formerly part of the German Empire. In the German Empire, the place was called Damírov.
The place is now called Damírov and belongs to Czechoslovakia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Damirow | Austro-Hungary | Časlau | before the Treaty of Saint-Germain |
| Damírov | Austro-Hungary | Časlau | before the Treaty of Saint-Germain |
| Damírov | Czechoslovakia | Čáslav | after the Treaty of Saint-Germain |
| Damirow | German Empire | Tschaslau | 1939 |
| Damírov | German Empire | Tschaslau | 1939 |
| Damírov | Czechoslovakia | Čáslav | 1945 |
| Damírov | Czechoslovakia | Střední Čechy | 1992 |