Mutná was formerly part of the German Empire. In the German Empire, the place was called Mutten.
The place is now called Mutná and belongs to Czech Republic.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Mutten | Austro-Hungary | Datschitz | before the Treaty of Saint-Germain |
| Mutná | Austro-Hungary | Datschitz | before the Treaty of Saint-Germain |
| Mutná | Czechoslovakia | Dačice | after the Treaty of Saint-Germain |
| Mutten | Czechoslovakia | Dačice | after the Treaty of Saint-Germain |
| Mutten | German Empire | Waidhofen an der Thaya | 1938 |
| Mutná | Czechoslovakia | Dačice | 1945 |
| Mutná | Czechoslovakia | Jindřichův Hradec | 1992 |
| Mutná | Czech Republic | Jindřichův Hradec | 1993 |