Henry Marsh may refer to:

• Henry Marsh (naval officer) (d. 1772)), English naval officer
• Sir Henry Marsh, 1st Baronet (1790–1860), Irish surgeon
• Henry Marsh (runner) (born 1954), American Olympic steeplechase runner
• Henry Marsh (bishop) (1898–1995), Anglican bishop in Canada
• Henry Marsh (musician) (born 1948), British pop musician
• Henry Marsh (neurosurgeon) (born 1950), British neurosurgeon
• Henry Marsh (rugby union) (1850–1939), England rugby union international
• Henry Alan Marsh (1901–1950), British rotary aircraft test pilot and manager of Cierva Autogiro Company
• Henry A. Marsh (1836–1914), American banker and mayor of Worcester, Massachusetts
• Henry G. Marsh (1921–2011), mayor of Saginaw, Michigan
• Henry L. Marsh (born 1933), American politician and civil rights lawyer
• Henry W. Marsh (1860–1943), American insurance executive and co-founder of Marsh McLennan