By car
Take the A14 motorway. When you get to Bari, continue on along the SS16 trunk road in the Brindisi-Lecce direction, as far as the Monopoli exit.
At this point, just follow the directions for Alberobello.
Alternatively, you can take the SS100 trunk road towards Taranto and exit at Casamassima, then carry on in the direction of Turi and then Putignano.