Henry Cotton may refer to:

Henry Egerton Cotton (1929–1993), first chancellor of Liverpool John Moores University and former Lord Lieutenant of Merseyside Sir Henry Cotton (civil servant) (1845–1915), British politician (also in India) Sir Henry Cotton (judge) (1821–1892), British judge (Lord Justice of Appeal), Privy Counsellor Henry Cotton (doctor) (1876–1933), American doctor Sir Henry Cotton (golfer) (1907–1987), English golfer Cotton Knaupp (Henry Antone Knaupp, 1889–1967), baseball player Henry Cotton (bishop) (c. 1545–1615), English bishop of Salisbury Harry Cotton (1882–1921), English footballer Henry Cotton (divine) (1789–1879), Anglo-Irish ecclesiastical historian Henry Cotton, British architect of the Sun and 13 Cantons public house, London Henry Cotton (cricketer) (1845–1907), New Zealand cricketer

See also James Cotton (priest) (James Henry Cotton) (1780–1862), British clergyman and educationist James Cotton (James Henry Cotton) (1935–2017), American blues musician