| Fau | |
| Pushpin Map: | France#France Bourgogne-Franche-Comté |
| Subdivision Type1: | Country |
| Subdivision Name1: | France |
| Mouth: | Rognon |
| Progression: | Rognon→ Scey→ |
| Length: | 10.4km (06.5miles) |
The Fau is a 10.4 km river in the Haute-Saône department in the Bourgogne-Franche-Comté region of eastern France. It rises in Étobon and flows generally west to join the Rognon in Moffans-et-Vacheresse.