Shostakovich Peninsula is an ice-covered peninsula lying north of Stravinsky Inlet and extending into Bach Ice Shelf in southern Alexander Island, Antarctica. The peninsula was first mapped by Directorate of Overseas Surveys from satellite imagery of Antarctica supplied by U.S. National Aeronautics and Space Administration in cooperation with U.S. Geological Survey. Named by United Kingdom Antarctic Place-Names Committee after Dmitri Shostakovich, Russian composer (1906-1975).