Henry Maxwell may refer to:

• Henry Maxwell (1669–1730), Anglo-Irish politician and political writer
• Henry Maxwell, 6th Baron Farnham (1774–1838), Irish peer and Church of Ireland clergyman
• Henry Maxwell, 7th Baron Farnham (1799–1868), Irish peer and member of parliament
• Henry Maxwell (bishop) (1723–1798), Anglican bishop in Ireland
• W. Henry Maxwell (1935–2010), American politician and Baptist minister from Virginia
• Harry Harrison (writer) (Henry Maxwell Dempsey, 1925–2012), American science fiction author
• Henry Maxwell (rugby league) (c. 1932–2013), New Zealand rugby league player
• Henry J. Maxwell (1837–1906), South Carolina state senator, lawyer and Union soldier
• Rev. Henry Maxwell, principal character in the 1896 novel In His Steps by Charles Sheldon

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