Cven was formerly part of the German Empire. In the German Empire, the place was called Zween.
The place is now called Cven and belongs to Slovenia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Zween | Austro-Hungary | Luttenberg/Ljutomer | before the Treaty of Saint-Germain |
| Cven | Austro-Hungary | Luttenberg/Ljutomer | before the Treaty of Saint-Germain |
| Cven | Yugoslavia | Ljutomer | after the Treaty of Saint-Germain |
| Zween | German Empire | Oberradkersburg | 1941 |
| Cven | Yugoslavia | Murska Sobota | 1945 |
| Cven | Yugoslavia | Socialistična rep. Slovenija | 1992 |
| Cven | Slovenia | Slowenien | 1991 |