Muchów was formerly part of the German Empire. In the German Empire, the place was called Mochau.
The place is now called Muchów and belongs to Poland.
| Historical place name | Country | Administration | Time |
|---|---|---|---|
| Mochau | German Empire | Jauer | 1939 |
| Muchów | Under Polish administration | Jawor | 1945 |
| Muchów | Poland | Legnica | 1992 |