Muchocinek was formerly part of the German Empire. In the German Empire, the place was called Muchocin Hauland.
The place is now called Muchocinek and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Muchocin, Hauland | German Empire | Birnbaum | before the Versailles Treaty |
| Muchocinek | Poland | Międzychód | after the Versailles Treaty |
| Muchocin Hauland | German Empire | Birnbaum (Wartheland) | 1939 |
| Nuchocinek | Poland | Międzychód | 1945 |
| Muchocinek | Poland | Gorzów | 1992 |