Located in the Absaroka Range, on the park boundary with Shoshone National Forest in northwestern Wyoming, the mountain rises about east of the southeast arm of Yellowstone Lake. The mountain is also one of the highest points in the Washakie Wilderness area of Shoshone National Forest. Eagle Peak is of a similar height to several other local mountains; there is a ridge which gradually gets higher as it heads southeast culminating in several summits - Mount Schurz, to the immediate northwest is shorter, and Pinnacle Mountain, to the immediate southeast, is taller, but outside of the park boundary.