Cobbold is a surname. Notable people with the surname include:
Cameron Cobbold, 1st Baron Cobbold (1904–1987), Governor of the Bank of England
David Lytton-Cobbold, 2nd Baron Cobbold (born 1937), British peer
Elizabeth Cobbold (1765–1824), British writer and poet
Lady Evelyn Cobbold (1867–1963), Scottish noblewoman and convert to Islam
Felix Cobbold (1841–1909), British barrister and Liberal Party politician
Hermione Cobbold, Baroness Cobbold (1905–2004), wife of Cameron Cobbold
Humphrey Cobbold (born 1964), British businessman
John Cobbold (disambiguation), people who share that name
Ralph Cobbold (1869–1965), British soldier and writer
Richard Cobbold (1797–1877), British writer
Thomas Cobbold (disambiguation), people who share that name
William Cobbold (composer) (1560–1639), English renaissance composer
William Cobbold (1862–1922), footballer