The Bach Ice Shelf () is an ice shelf which is irregular in shape and 45 miles (72 km) in extent, occupying an embayment in the south part of Alexander Island entered between Berlioz Point and Rossini Point. A minor embayment in this position first appeared on the charts of the US Antarctic Service, which explored the south part of Alexander Island by air and from the ground in 1940. The ice shelf was delineated by Derek J.H. Searle of the Falkland Islands Dependencies Survey in 1960, from air photos obtained by the Ronne Antarctic Research Expedition in 1947–48. It was named by the UK Antarctic Place-Names Committee after the German composer Johann Sebastian Bach.