By car
The easiest way to arrive is to take the M3 as far as Füzesabony, then continue north on route 25. For a more scenic route from Miskolc you can drive through the windy roads of the Bükk mountains.
By bus
Buses leave Budapest's Stadionok station for Eger twice an hour and the trip takes a little over two hours . Less if you travel with the express service. Most major cities in Hungary also have direct bus connections to Eger.
By train
Trains leave the Budapest Keleti station each hour. The ones leaving at odd hours are direct, the ones leaving at even hours require you to change trains in Füzesabony. Most of these trains are gyors fast trains and will take about two hours and 20 minutes to arrive. Hourly IC trains will take you directly to Füzesabony, cutting the total travel time to just under two hours, but a reservation is required.
If you come from Miskolc your options are similar, except there is no direct service and you will have to change trains in Füzesabony. IC trains take just under an hour to arrive.