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 above sea level (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 HütteNormal routes to the summits are from both huts via Muttenjoch.