Turin's Caselle airport is about 10 miles far from the city center, and is accessible from the main ring road ("Tangenziale") that circles around the city. There are many direct flights to Turin from various European cities. The modern airport offers numerous amenities to visitors, including duty free shopping, just in case you didn’t find what you were looking for in the city - www.aeroportoditorino.it

Airport taxis are located at the arrivals area. The cab line is well organized and generally taxis can be gotten fairly quickly. Rates are reasonable but you should confirm the fare before getting in the car.

In addition to cabs, there are both buses and trains available from the airport. The SADEM bus service runs daily from 6am until 12midnight  http://www.sadem.it/media/6355/000268... and the trip is about 40-45 minutes to the city center. http://www.sadem.it/en/prodotti/colle...  Passengers are requested to purchase their tickets before boarding the bus.  

Additionally, Terravision has started a competing, low cost bus connection from the airport to the city. Although buses cater mostly to Ryanair passengers, anybody can board them --http://www.terravision.eu/airport_ser...  As of May 28, 2015 the Terravision website lists this route as temporarily suspended. 

Trains run from Caselle airport station to Turin's Dora Station every half hour throughout the day from 5am until around 8pm. The trip takes about 20 minutes. From Turin's Dora train station, there is a dedicated bus line ("Dora Fly") connecting with the city center -- http://www.comune.torino.it/gtt/aerop...

Located in central Piedmont, Turin is a major railway junction. The city is home to several stations including Porta Nuova (the main one), Porta Susa, Lingotto and Dora, with connections to Italy and services to and from France and Spain.

Although long distance bus travel is not very popular in Italy , Turin can be reached by bus from many Italian towns, including Aosta, Milan, Florence, Siena, Rome, Bari, Cosenza and others. There are also connections with major European cities. Look up the Turin bus station website for info: www.autostazionetorino.it

The city is also well connected with the European road network, and drivers can easily reach Turin on toll motorways from Italy, France and Switzerland -- www.autostrade.it