Burnaby is an English surname. Notable people with the surname include:
Andrew Burnaby (1732–1812), English clergyman and travel writer
Davy Burnaby (1881–1949), British stage and film actor
Edwyn Burnaby (1798–1867), English landowner and British Army officer
son Edwyn Sherard Burnaby (1830–1883), British Army general and Member of Parliament; son of the above
Frederick Gustavus Burnaby (1842–1885), English army officer and traveller
John Burnaby (1891–1978), Anglican clergyman and Regius Professor of Divinity at Cambridge University
Louisa Cavendish-Bentinck (1832–1918), great grandmother of Queen Elizabeth II; daughter of Edwyn Burnaby (née Caroline Louisa Burnaby)
Robert Burnaby (1828–1878), British Columbian politician
William Burnaby (disambiguation)
Sir William Burnaby, 1st Baronet (c. 1710–1776), British naval officer