Hluboky was formerly part of the German Empire. In the German Empire, the place was called Hluboké.
The place is now called Hluboké u Kunštátu and belongs to Czechoslovakia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Hluboky | Austro-Hungary | Boskowitz | before the Treaty of Saint-Germain |
| Hluboké | Austro-Hungary | Boskowitz | before the Treaty of Saint-Germain |
| Hluboké | Czechoslovakia | Boskovice | after the Treaty of Saint-Germain |
| Hluboka | German Empire | Boskowitz | 1939 |
| Hluboké | German Empire | Boskowitz | 1939 |
| Hluboké | Czechoslovakia | Boskovice | 1945 |
| Hluboké u Kunštátu | Czechoslovakia | Jižní Morava | 1992 |