Øster-Højst was formerly part of the German Empire. In the German Empire, the place was called Oster-Hoist.
The place is now called Øster Højst and belongs to Denmark.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Oster-Hoist | German Empire | Tondern | before the Versailles Treaty |
| Øster-Højst | Denmark | Tønder | after the Versailles Treaty |
| Øster Højst | Denmark | Sønderjylland | 1993 |