If you are arriving directly to Innsbruck Airport (INN), you way going to be:

1. From Innsbruck Airport (INN) take a bus named F Neu-Rum Kaplanstraße. Coordinates of Bus stop at the Airport 47.257413, 11.350979 (you can copy it and paste it in google map search) or click here.
2. Go 12 stops to Innsbruck central train station till stop “Innsbruck Hauptbahnhof”.
3. Take a bus “Winterbus Stubaital” or Bus 590. Bus schedule is here.
4. On this bus you can get to your hotel in Stubai valley or to the ski lift every day, It's free, when you have a ski pass.
5. Here is the general information about arriving at Stubai Glacier.

If you are arriving to Munich Airport (MUC), you have 2 options to travel:

1st option

1.1 You can travel from Munich Airport to Innsbruck Hauptbahnhof. This route has 1 or 2 transfers - at the station "München Ost" and at Kufstein train station. Buy a ticket from the Airport to Innsbruck Hauptbahnhof here or here choose from "München Flughafen" to "Innsbruck Hauptbahnhof”. Choose outbound and return dates and time.

1.2 You are going to come at the train station called "Innsbruck Hauptbahnhof" then go to the Bus stop (in front of the train station 47°15'49.9"N, 11°24'01.5"E or click here) and take a bus “Winterbus Stubaital” or Bus 590. Bus schedule is here.
(it`s pdf file).
1.3 You also can follow the route prebuilt in Google maps by clicking the link.
1.4 On this bus you can go to the ski lift every day. It's free, when you have a ski pass.

1.5 Here is the general information about arriving at Stubai.

2nd option

2.1 Take a bus to Innsbruck. Flixbus schedule and tickets are here.
2.2 On Flixbus web-site you need to choose from (Von) Munchen Flughagen (Munich Airport) to (Nach) Innsbruck and choose dates.

2.3 Go to the train station "Innsbruck Hauptbahnhof" 5 minutes walk(click here to open google map).

2.4 Then go to the Bus stop (in front of the train station 47°15'49.9"N, 11°24'01.5"E or click here) and take a bus “Winterbus Stubaital” or Bus 590. Bus schedule is here.
(it`s pdf file).
2.5 You also can follow the route prebuilt in Google maps by clicking the link.
2.6 On this bus you can go to the ski lift every day. It's free, when you have a ski pass.

2.7 Here is the general information about arriving at Stubai.