- Hazlehurst, Dr Richard Cecil (1880-1932)
- Hazell, Harry (1909-)
- Hazon, Roberto (1930-2006)
- Hazzard, Peter Peabody (1949-)
- Head, Edward (1854-)
- Head, Dr Robert (1893-1957)
- Headington, Christopher John Magenis (1930-1996)
- Headley, Simon
- Heale, Hélène (1855-1945)
- Healey, Albert
- Healey, Dr Derek Edward (1936-)
- Healey, Edward William (1850-)
- Healey, Hilary Philip Chadwick (1888-1976)
- Healey, John Proctor (1913-)
- Heap, Charles Spencer (c1876-c1950)
- Heap, Dr Charles Swinnerton (1847-1900)
- Heap, James Sebastian (1879-)
- Heap, Thornton (1895-)
- Heaps, Porter Warrington (1906-1999)
- Heaps, Robert (1864-)
- Heard, Alan (1942-)
- Heardson, Thomas
- Hearn, Adelaide Mary (1886-c1955)
- Hearn, Sydney Thomas (1915-)
- Hearne, John Michael (1937-)
- Heath, Alfred (1882-)
- Heath, Henry W.
- Heath, J.
- Heath, John
- Heath, Paul
- Heath, Robert Hainsworth (1842-)
- Heath-Brown, R. J. (1883-)
- Heathcote, Edith
- Heathcote, Edward (c1787-)
- Heathe, John
- Heather, Stephen (1748-1831)
- Heath-Gracie, George Handel (1892-)
- Heaton, Joseph Henry (1874-)
- Heaton, Wallace Dungan (1914-1990)
- Heaton, Dr Walter (1871-1933)
- Heaton-Bailey, J.
- Hebble, Robert Christian (1934-)
- Hebson, James Atcherley (1880-)
- Hecht, Andrew (-1693)
- Hecht, C. van der
- Hecht, Thomas (-1734)
- Hecker, B. J.
- Heckmann, Heinz (1932-)
- Heckt, Guntar (1851-1932)
- Hector, Dr Chastey William George (1876-1934)
- Hedden, W. R. (1861-)
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- Heddon-Bond, Frank (1875-c1948)
- Heddy, Albert Thomas (1856-c1929)
- Hedelin, Fredrik Olof (1965-)
- Hedgcock, Walter William (1864-1932)
- Hedgeland, William Martin (c1830-c1911)
- Hedges, Alice Frances (1906-)
- Hedges, Anthony John (1931-)
- Hedges, Arthur Edward (1909-)
- Hedin, Staffan (1954-)
- Hedlund, Harald (1907-1944)
- Hedoux, Yvonne (1890-)
- Hedström, Sven (1957-)
- Hedwall, Lennart (1932-)
- Heeley, Albert
- Heer, Emil (1926-1994)
- Heeremans, Harold (1900-1997)
- Heffer, Frank (1891-1977)
- Heffron, Edward
- Heftrich, Wilhelm
- Hegarty, David Howard (1945-)
- Hegdal, Magne Gunnar (1944-)
- Hegedus, Arpad (1909-1988)
- Hegele, Ernst (1849-1930)
- Heger, Robert (1886-1978)
- Heiden, Hendrik Jan van der (1978-)
- Heider, Werner (1930-)
- Heidler, Hermann (1834-1890)
- Heidorn, Peter
- Heidrich, Maximillian (1864-1909)
- Heighington, Musgrave (1680-1774)
- Heighton, J.
- Heijden, Franciscus Johannes van der (1848-)
- Heiller, Anton (1923-1979)
- Heilmann, Harald (1924-)
- Heilmann, Kurt (1890-)
- Hein, August C. (1858-c1940)
- Hein, Wolfgang (1924-1999)
- Heinermann, Otto (1887-1977)
- Heininen, Paavo Johannes (1938-)
- Heiniö, Mikko Kyösti (1948-)
- Heinrich, Adel Verna (1926-)
- Heinrich, Anthony Phillip (1781-1861)
- Heinrich, Claus Erhard (1960-)
- Heinrich, Johann George (1807-1882)
- Heinroth, Charles (1874-)
- Heins, Nicholas (1839-1910)
- Heintz, Albert (1822-1911)
- Heintze, Georg Wilhelm (1849-1895)
- Heintze, Gustaf Hjalmar (1879-1946)
- Heinzman, David Lee (1958-)
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Organist 
Organist & composer 
Composer 
Organ builder 
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