Robert Gunning may refer to:
- Sir Robert Gunning, 1st Baronet (1731âÂÂ1816), British diplomat
- Robert C. Gunning (born 1931), professor of mathematics at Princeton University
- Robert Halliday Gunning (1818âÂÂ1900), 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 (1795âÂÂ1862), of the Gunning baronets, MP for Northampton
- Sir Robert Charles Gunning, 8th Baronet (1901âÂÂ1989), of the Gunning baronets
See also