East Sleeper is on the Appalachian Mountain Club's list of the "Hundred Highest" peaks in New England.

West Sleeper is actually higher, but the ridge connecting it to the peaks of Mount Tripyramid is high enough to deny it the 200 feet (61 m) of topographic prominence to qualify for the list.

A maintained trail passes close by the summit, from which an obvious spur path leads to the top.

The peaks are named in honor of Katherine "Kate" Sleeper (1862–1949), a local innkeeper who was heavily involved in trail development in the area:[1][2]

Advocated the preservation of great tracts of land that became part of the White Mountain National Forest.