Takayama is the major transport hub of the Hida region.
By bus
By bus
Buses from Shinjuku in Tokyo go straight to Takayama 5.5h, ¥6500. Great views along the way!
Buses to and from the Oku-Hida Onsen Villages leave from the bus station adjacent to JR Takayama station.
If you go the mountain route, there is a bus from Matsumoto with some mountain village like Kamikochi on the way.
From Kamikochi you can take the bus to Hiruyu-Onsen 30 mins, and change there for a corresponding bus to Takayama 60 mins, total price ¥2500.