Zugspitz station Grainau

Take the cogwheel train from the Zugspitzbahnhof Grainau over Eibsee to the Zugspitzplatt and from there continue to the summit with the glacier cable car.

Or you can use the Bavarian Zugspitze Railway as a means of transport between Garmisch-Partenkirchen and up to the Eibsee stop for free with the Grainauer guest card. 

Here you can find the timetable