Mount Cunningham is the 16th highest peak in the list of mountain peaks in South Georgia and the South Sandwich Islands. It is situated outside the BAT. Situated west of the Allardyce Range and northwest of Esmark Glacier, nearby mountains are the Warburton Peak (), Bomford Peak (), Pyramid Peak (), Smillie Peak (), Stanley Peak (), and Comer Crag (). The mountain peaks are not connected. However, the Mount Cunningham is a high mountain peak in the mountain range which extends over a length of . With sharply-rising cliffs facing the sea, Mount Cunningham is situated at the head of low tussock-covered hills near the enclosed King Haakon Bay, an inlet on the southern coast. The headland of Cape Nunez is directly to the south while Jossac Bight is to the southeast.