David Brewer is the name of:

David Brewer (broker) (1940–2023), Lord-Lieutenant of Greater London and Lord Mayor of London David J. Brewer (1837–1910), Associate Justice of the United States Supreme Court David L. Brewer III (born 1946), American school superintendent and retired Vice Admiral of the United States Navy David M. Brewer (1959–2003), American convicted of murder David V. Brewer (born 1951), Associate Justice of the Oregon Supreme Court

See also John David Brewer (born 1951), English sociologist