Kulynai was formerly part of the German Empire. In the German Empire, the place was called Kuhlins.
The place is now called Kulynai and belongs to Lithuania.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Kuhlins | German Empire | Heydekrug | before the Versailles Treaty |
| Kūlynai | Lithuania | Šilutė | after the Versailles Treaty |
| Kuhlins | German Empire | Heydekrug | 1939 |
| Kulynai | Soviet Union | Šilutė/Šilute | 1945 |
| Kulinaj | Soviet Union | Šilutė/Šilute | 1945 |
| Kulynai | Lithuania | Šilutė | 1992 |