Horní Rybníky was formerly part of the German Empire. In the German Empire, the place was called Horní Rybníky.
The place is now called Horní Rybníky and belongs to Czechoslovakia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Oberrybnik | Austro-Hungary | Nachod | before the Treaty of Saint-Germain |
| Rybníky Horní | Austro-Hungary | Nachod | before the Treaty of Saint-Germain |
| Horní Rybníky | Czechoslovakia | Náchod | after the Treaty of Saint-Germain |
| Ober-Teich | German Empire | Nachod | 1939 |
| Horní Rybníky | German Empire | Nachod | 1939 |
| Horní Rybníky | Czechoslovakia | Náchod | 1945 |
| Horní Rybníky | Czechoslovakia | Východní Čechy | 1992 |