From the Central Japan International Airport(Centrair)

• Transfer to the Meitetsu Railway Airport Station,
  board a Rapid Limited Express for Shin-Unuma,
  get off at the Inuyama Station (a 60 minutes trip)
  and take a taxi from the station (5 minutes).

From the Shinkansen Nagoya Station

• Transfer to the Meitetsu Railway Nagoya Station,
  board a Express or Limited Express for Inuyama Line,
  get off at the Inuyama Station (a 25 minutes trip)
  and take a taxi from the station (5 minutes).