Fjordekspressen (NV431) from Bergen bus station. It is then possible to follow the signs to the museum.
The museum is by the European route E39 north of Bergen on its way to Sognefjorden. Follow the signs to Bjørn West when you get to Matre. There is a parking lot by the museum.
The estimated time from Bergen to the Bjørn West museum is 1 hour and 15 minutes.