Transport buses to Obergurgl will start at the central station in Innsbruck (map)
(meet in front of the Mc-Donald's within the station as bus is parked
at back entrance (Frachtenbahnhof))
with stops later at Innsbruck airport and at Ötztal Bahnhof at special request.
If you cant make any of the buses:
An airport shuttle (four seasons travel) runs from Munich
airport directly to Obergurgl.
Shuttle service from and to Obergurgl is also possible via the
Ötztal Shuttle, which can be booked directly.
Travel information (external links)