There are no trains operating in Tenerife.
Car and bus
The airport is directly along the highway del Sur, TF-1, that together with the highway del Norte almost forms a ring road. The exit to the airport is clearly indicated.
The stops for five bus lines are in front of the Arrivals Hall: line 340 goes to Puerto de la Cruz, line 341 to Santa Cruz, lines 487 and 470 to Playa de Las Américas and line 464 to Granadilla. For the complete schedule and departure times you can look on the website for the bus company Titsa.
Car rental - Tenerife South - Reina Sofia Airport
You can find counters in the Central Hall for car rental companies: Autos Reisen, Avis, Cicar, Europcar Betacar, Hertz and Record. You can also reserve a rental car in advance using the service EasyTerra provides, they compare the rates of several providers in a single quote.
Taxis are outside the terminal (tel: +34(0)922 64 11 12). For an indication of various destinations and prices: El Medano €10.00, Playa de Las Américas €20.00, Los Gigantes €42.00, Santa Cruz €60.00 and Puerto de la Cruz €80.00.
There is a parking area right in front of the terminal with places for 800 cars. The first half hour parking is free, for the second half hour you pay €0.50 then €0.95 per hour with a maximum of €9.25 per day, from the fifth day €7.40 per day.