Grantham served in the Second World War, initially as commander of the cruiserHMSPhoebe and was involved in the evacuation from Greece, for which he was awarded the Distinguished Service Order.[1] After a period as a liaison officer in the Western Desert, he became Commander of the cruiser HMSNaiad, which was sunk by a torpedo in March 1942.[1] He then became commander of the cruiser HMSCleopatra, in which he was involved in the defeat of the Italian Fleet at the second Battle of Birte.[1] His last wartime command was of the aircraft carrierHMSIndomitable, which was involved in the landings in Sicily.[1] He went on to be director of plans at the Admiralty.[1]
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