Edward Simpson may refer to:

• Edward Simpson (naval officer) (1824–1888), officer in the U.S. Navy during the American Civil War and the Spanish–American War
• Edward A. Simpson (1892–?), World War I flying ace
• Edward B. Simpson (1835–1915), Wisconsin politician
• Edward Simpson (governor), Naval commandant and 20th Naval Governor of Guam
• Edward Sydney Simpson (1875–1939), Australian mineralogist and geochemist
• Edward H. Simpson (1922–2019), British statistician
• Edward Simpson (cricketer) (1867–1944), English cricketer
• Sir Edward Simpson (MP), British MP for Dover, 1759–1765
• Edward Simpson (forger) (1815–?), British geologist and forger
• Edward Simpson (Master of Trinity Hall, Cambridge) (died 1764), politician, lawyer and academic