Cobbold is a surname. Notable people with the surname include:
Cameron Cobbold, 1st Baron Cobbold (1904–1987), Governor of the Bank of EnglandDavid Lytton-Cobbold, 2nd Baron Cobbold (born 1937), British peerElizabeth Cobbold (1765–1824), British writer and poetLady Evelyn Cobbold (1867–1963), Scottish noblewoman and convert to IslamFelix Cobbold (1841–1909), British barrister and Liberal Party politicianHermione Cobbold, Baroness Cobbold (1905–2004), wife of Cameron CobboldHumphrey Cobbold (born 1964), British businessmanJohn Cobbold (disambiguation), people who share that nameRalph Cobbold (1869–1965), British soldier and writerRichard Cobbold (1797–1877), British writerThomas Cobbold (disambiguation), people who share that nameWilliam Cobbold (composer) (1560–1639), English renaissance composerWilliam Cobbold (1862–1922), footballer