If you come by car: Brennero Motorway (A22) - Bressanone/Val Pusteria exit. Follow signs towards Brunico (approx. 30 km).
From the East, cross the border at San Candido and continue for Dobbiaco and Brunico.

Plan your arrival with the route planner of Michelin

If you come by train: Munich - Innsbruck - Brennero - Fortezza - Brunico. There’s a handy bus service from Brunico to Falzes. 

Italian railways
Austrian railways
German railways

If you come by plane: The nearest international airports are the following:
Bolzano/Airport Dolomiti (ca. 80 km away)
Verona/Villafranca (ca. 220 km)
Venezia/Marco Polo (ca. 190 km)
Milano/Linate und Malpensa (ca. 415 km)
Innsbruck (ca. 115 km)
Munich (ca. 280 km)

Further usefully links:

Italian motorways
South Tyrolean Coach Lines
Weather South Tyrol