Hlubyně was formerly part of the German Empire. In the German Empire, the place was called Hlubyně.
The place is now called Hlubyně and belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Hlubin | Austro-Hungary | Blatna | before the Treaty of Saint-Germain |
| Hlubín | Austro-Hungary | Blatna | before the Treaty of Saint-Germain |
| Hlubyně | Czechoslovakia | Blatná | after the Treaty of Saint-Germain |
| Teufe | German Empire | Blatna | 1939 |
| Hlubyně | German Empire | Blatna | 1939 |
| Hlubyně | Czechoslovakia | Blatná | 1945 |
| Hlubyně | Czechoslovakia | Příbram | 1992 |
| Hlubyně | Czech Republic | Příbram | 1993 |