The mountain lies within the Stephen Mather Wilderness of North Cascades National Park, in remote terrain far from human settlement and difficult to access. It was first climbed in 1930, by Jimmy Cherry and Bob Ross. The nearest higher peak is Mount Spickard, (), which is to the east-northeast. Spickard's prominence is much greater than Redoubt's. The Redoubt Glacier lies on the eastern slopes of the peak and smaller unnamed glaciers lie to the north.