Admiral Simpson may refer to:
Edward Simpson (governor) (1860–1930), U.S. Navy rear admiral Edward Simpson (naval officer) (1824–1888), U.S. Navy rear admiral Enrique Simpson (1835–1901), Chilean Navy counter admiral George Simpson (Royal Navy officer) (1901–1972), British Royal Navy rear admiral Robert Winthrop Simpson (1799–1877), British-born Chilean Navy rear admiral Rodger W. Simpson (1898–1964), U.S. Navy rear admiral
See also Beau "Cyclone" Simpson, fictional vice admiral in the 2022 film, Top Gun: Maverick John Simpson, fictional admiral in the 1632 novel series Robert Simpson-Anderson (born 1942), South African Navy vice admiral