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