Recommended international airports: NGO(ChubutCentrair, Nagoya), KIX(Kansai, Osaka), HND(Haneda, Tokyo), NRT(Narita, Tokyo)
From these airport, you need to go to JR Nagoya Station.
From JR Nagoya Station, you can take express train or highway bus to go to JR Takayama Station. Both of them take 2.5-3 hours.
NGO(ChubutCentrair, Nagoya): 30 min to JR Nagoya Station by local train.
KIX(Kansai, Osaka): about 2 hours to JR Nagoya Station by JR local train and bullet train.
HND(Haneda, Tokyo): about 3 hours to JR Nagoya Station by JR local train and bullet train.
NRT(Narita, Tokyo): about 4 hours to JR Nagoya Station by JR local train and bullet train.
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