From Kashihara- jingumae or Asuka stations of Kintetsu Railway
Take the "Asuka Village Sightseeing Loop Bus" (a.k.a. "Aka-kame bus). Get off the bus at the Asuka-okuyama Asuka Historical Museum west bus stop.
For the bus timetable, please check the website of Nara Kotsu Bus Lines.
Fare: ¥280 from the East Exit of the Kashihara-jingu Station, taking about 20 minutes. ¥350 from the Asuka Station, taking about 30 minutes.