Žlabek was formerly part of the German Empire. In the German Empire, the place was called Žlábek.
The place is now called Žlábek and belongs to Czechoslovakia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Žlabek | Austro-Hungary | Semil | before the Treaty of Saint-Germain |
| Žlábek | Austro-Hungary | Semil | before the Treaty of Saint-Germain |
| Žlábek | Czechoslovakia | Semily | after the Treaty of Saint-Germain |
| Schlapek | German Empire | Semil | 1939 |
| Žlábek | German Empire | Semil | 1939 |
| Žlábek | Czechoslovakia | Semily | 1945 |
| Žlábek | Czechoslovakia | Východní Čechy | 1992 |