Hluboký was formerly part of the German Empire. In the German Empire, the place was called Tiefenbach.
The place is now called Hluboký (Ostrov-Hluboký) and belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Tiefenbach | Austro-Hungary | Sankt Joachimsthal | before the Treaty of Saint-Germain |
| Hluboký | Czechoslovakia | Jáchymov | after the Treaty of Saint-Germain |
| Tiefenbach | Czechoslovakia | Jáchymov | after the Treaty of Saint-Germain |
| Tiefenbach | German Empire | Sankt Joachimsthal | 1938 |
| Hluboký | Czechoslovakia | Jáchymov | 1945 |
| Hluboký (Ostrov-Hluboký) | Czechoslovakia | Karlovy Vary | 1992 |
| Hluboký (Ostrov-Hluboký) | Czech Republic | Karlovy Vary | 1993 |