From the airport you can take a bus for €3 (called Alibus: [3]) which has two stops only: Stazione Centrale (Central station) and Piazza Municipio, near the main ferry port (molo Beverello). You can buy your ticket on the bus. Further connections are listed on this page of the official website of the airport: [4]. Some notes: The Alibus ticket is €4 if you buy it from the driver on the bus. Save €1 by purchasing it in the airport or at the Stazione Centrale from one of the shops. Note also that the Stazione Centrale stop is not right outside the train station - it's about 200m or so down Piazza Giuseppe Garibaldi [5]. It's difficult/impossible to see the stop from the station because of construction barriers. Exit the train station by the McDonalds, cross the street (Corso Novara) and head down the unnamed pedestrian street that parallels Piazza Giuseppe Garibaldi (avoid the folks selling questionably obtained iPads). The bus stop will be on your left. Schedule [6]