Muztagh Tower, as the name implies, is an enormous rock tower, its four sides stretching steeply into the sky. This is perhaps the most difficult technical climb in the Karakorum. It is located between the basins of the Baltoro and Sarpo Laggo glaciers, and for many years was considered inaccessible. Its faces are covered in ice and hanging glaciers, and there is considerable overhang. The British party who made the first successful ascent in 1956 barely preceded a French party who was simultaneously attempting the peak from the opposite side. Neither party knew of the other's presence until the French team, en route to what they believed would be a first ascent, spotted someone else standing on the summit.

The rarely climbed Muztagh Tower stands 7273 meters (23,862 feet) in height. It's North Face, the same one that the Slovenia climbers were challenging is more 2200 meters in height itself. The only peak in the area which can compete with Trango Tower in terms of raw, difficult faces to climb. It's not located in the actual Trango group, but in the next main group of peaks further north.