Every day  the Trinacria Express connects Palermo Centrale station with Punta Raisi airport. 

The first departure from Palermo Centrale station is at 4.45 and the last is at 20.09. From Falcone-Borsellino airport, the first departure is at 5.54 and the last is at 22.05 . The journey times vary depending on the departure time and the number of stops, and can take between 45 and 70 minutes. 

The cost of the ticket is 5.50 euro. You can buy tickets on this site, at the ticket desks, at the self-service machines, in travel agencies and at authorised sales points.
You can also purchase promotional one-month travelcards and 6-ticket booklets (carnet).