The Gaisspitze (also called Geißspitze) is a cone shaped mountain in the Verwall Alps in the Austrian state of Tyrol and north of the municipality Galtür. It has an elevation of 2,779 m (AA).

The nearest taller mountain is the Glatter Berg (2866 m), about 1 km north. They are separated via the col Muttenjoch (2620 m).

There are two alpine club huts nearby:

  • Heilbronner Hütte (2,329 m)
  • Friedrichshafener Hütte

Normal routes to the summits are from both huts via Muttenjoch.

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