Lieutenant-General Sir Alexander Galloway, KBE, CB, DSO, MC (3 November 1895 – 28 January 1977) was a senior British Army officer. During the Second World War, he was particularly highly regarded as a staff officer and, as such, had an influential role in the outcome of Operation Crusader during the Western Desert Campaign in late 1941. He later commanded the 4th Indian Infantry Division at the Battle of Monte Cassino during the Italian Campaign in early 1944.