The Stubaital Valley can be reached easily in 20 min from Innsbruck. Take the Brenner motorway, exit at Schönberg, continue to Mieders, Telfes, Fulpmes, and Neustift. Or take the Brennerstraße national road (no road tax, 35 min). Austria's motoways are payable, i.e. you must get a "Vignette" (motorway pass). Vignettes may be bought at border crossings, petrol stations, and automobile clubs.
From Innsbruck main station by bus directly to the Stubaital valley.
The buses are running almost every hour.
Some departure times: 7.20am, 8.30am, 9.45am, 11.05am,1.05pm, 3.05pm, 4.05pm, 5.05pm, 6.15pm, 7.05pm, 8.15pm, 10.20pm... on working days there are additional buses going from Innsbruck to the Stubaital valley.
From Innsbruck Airport by coach, taxi, or hotel shuttle into the Stubai Valley. Alternatively, the Stubaital train connects Innsbruck to Fulpmes in the Stubai Valley. Airport shuttles can also be arranged for the airports in Munich and Salzburg.