Robert Gunning may refer to:

Sir Robert Gunning, 1st Baronet (1731–1816), British diplomat Robert C. Gunning (born 1931), professor of mathematics at Princeton University Robert Halliday Gunning (1818–1900), Scottish physician Robert Gunning, American businessman, creator of the Gunning fog index of readability Robert Gunning, musician, guitarist for The Infected Sir Robert Gunning, 3rd Baronet (1795–1862), of the Gunning baronets, MP for Northampton Sir Robert Charles Gunning, 8th Baronet (1901–1989), of the Gunning baronets

See also Gunning (disambiguation)