Norman Brown may refer to:

• W. Norman Brown (1892–1975), Indologist and Sanskritist
• Norman O. Brown (1913–2002), American philosopher and sociologist
• Norman E. Brown (1890–1958), sports editor of the Central Press Association
• Norman John Brown, 1985 recipient of the David Richardson Medal
• Norman Brown (cricketer) (1889–1962), Australian cricketer
• Norman Brown (curler), Scottish curler
• Norman Brown (footballer) (1885–1938), English footballer
• Norman Brown (guitarist), American jazz guitarist
• Norm Brown (1943–2022), Australian rules footballer
• Norm Brown (baseball) (1919–1995), American baseball player
• Norman Brown (motorcyclist) (1960–1983), Northern Irish motorcycle road racer
• Norman Cole Brown (1901–1996), founder of the Anchorage Daily News
• Norman K. Brown, American man who has worked on seven consecutive United States Censuses