HMS Kelvin (F37) was a K-class destroyer of the Royal Navy laid down by the Fairfield Shipbuilding and Engineering Company, Limited, at Govan in Scotland on 5 October 1937, launched on 19 January 1939 and commissioned on 27 November 1939.

She fought in several theatres during the war. In September 1940, as part of the 5th Destroyer Flotilla she scuttled HMS Ivanhoe, which had struck a mine off Texel during the Texel Disaster. In October 1940, she escorted HMS Revenge when she shelled Cherbourg. A year later, under Admiral James Somerville, she was involved at the action off Cape Spartivento on 27 November 1940, and for the next two years she was employed heavily in the Mediterranean, being involved in several major actions as well as several minor engagements. In May 1941, she bombarded Benghazi in company with HM destroyers Jackal, Kashmir, Kelly and Kipling before heading to Crete on 20 May 1941. She survived the withdrawal with comparatively light casualties, but required repairs and was sent to Bombay during which time her crew had sufficient time to tour India as far north as the Khyber Pass. By March 1942 she was back in the Mediterranean escorting convoy MW10 which took part in the Second Battle of Sirte. Later in the year she was involved in diversionary attacks in support of Operation Pedestal and bombarded Rhodes.