Buses operate from Osaka International Airport to Kyoto City. The trip takes approximately 55min and costs approx. 1310 yen for an adult ticket.
For buses to Kyoto, make your way to bus stop 2 directly out the front of departures North terminal as indicated on the map. Buses operate approx. every 30min from Osaka airport.
Another option is to travel on the Monorail. A sample route can be found below.
For timetables and additional information click here
Route map from Osaka International Airport to surrounding areas