Burnap is a surname. Notable people with the surname include:
Andrew Burnap (born 1991), American actor Campbell Burnap (1939–2008), British jazz trombonist, vocalist, and broadcaster Daniel Burnap (1759–1838), American clockmaker George Burnap (1885–1938), American landscape architect George Washington Burnap (1802–1859), Unitarian clergyman of the United States