Držková was formerly part of the German Empire. In the German Empire, the place was called Držková.
The place is now called Držková and belongs to Czechoslovakia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Drschtkowa | Austro-Hungary | Holleschau | before the Treaty of Saint-Germain |
| Dršťková | Austro-Hungary | Holleschau | before the Treaty of Saint-Germain |
| Držková | Czechoslovakia | Holešov | after the Treaty of Saint-Germain |
| Derschkowa | German Empire | Holleschau | 1939 |
| Držková | German Empire | Holleschau | 1939 |
| Držková | Czechoslovakia | Holešov | 1945 |
| Držková | Czechoslovakia | Jižní Morava | 1992 |