It is situated in the Absaroka-Beartooth Wilderness, on land managed by Custer National Forest.

Topographic relief is significant as the summit rises 2,860 feet (870 meters) above Glacier Green Lake in less than one mile.

[1] The first known ascent of the summit was made in 1926 by Norman Clyde, one of the most-accomplished American mountaineers.

Based on the Köppen climate classification, Wolf Mountain is located in a subarctic climate zone characterized by long, usually very cold winters, and mild summers.

[5] Winter temperatures can drop below −10 °F with wind chill factors below −30 °F.