Kleinlukow was formerly part of the German Empire. In the German Empire, the place was called Lukoveček.
The place is now called Lukoveček and belongs to Czechoslovakia.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Kleinlukow | Austro-Hungary | Holleschau | before the Treaty of Saint-Germain |
| Lukoveček | Austro-Hungary | Holleschau | before the Treaty of Saint-Germain |
| Lukov Malý | Austro-Hungary | Holleschau | before the Treaty of Saint-Germain |
| Lukoveček | Czechoslovakia | Holešov | after the Treaty of Saint-Germain |
| Klein Lukau | German Empire | Holleschau | 1939 |
| Lukoveček | German Empire | Holleschau | 1939 |
| Lukoveček | Czechoslovakia | Holešov | 1945 |
| Lukoveček | Czechoslovakia | Jižní Morava | 1992 |