Cobbold is a surname. Notable people with the surname include:
- Baron Cobbold
- Felix Cobbold (1841–1909), British barrister and Liberal Party politician
- Cameron Cobbold, 1st Baron Cobbold (1904–1987), Governor of the Bank of England
- David Lytton-Cobbold, 2nd Baron Cobbold (born 1937), British peer
- Evelyn Cobbold
- Hermione Cobbold (1905–2004)
- Humphrey Cobbold
- John Cobbold (disambiguation)
- Ralph Cobbold, expored the Pamirs in 1897-97
- Richard Cobbold (1797–1877), British writer
- Thomas Cobbold (disambiguation), people who share that name
- Tolly Cobbold, brewing company
- William Cobbold (composer) (1560–1639), English renaissance composer
- William Cobbold (1862–1922), footballer