To get from Pisa airport to Cinque Terre, the best option is to take the train. Parking is very difficult in Cinque Terre, so driving is not a good idea.
To get to Cinque Terre by train, first take a train from Pisa airport to Pisa Centrale train station. You can find out more about how to do this here.
Once in Pisa, take a train from Pisa Centrale to La Spezia Centrale train station. This journey takes around 1 hour. La Spezia Centrale has local train connections to the five towns of Cinque Terre. The trip takes approximately 10 minutes, depending on which town is your final destination.
Purchase a Cinque Terre Card at the La Spezia Centrale train station so that you don’t over-pay for the train to Cinque Terre. You can use the card for payment on this leg of the trip.
The total train journey from Pisa airport to Cinque Terre takes around 1.5 to 2 hours. Delays are common, so make sure to leave yourself extra time if you need to arrive by a certain point in the day.