Norcott is a surname. Notable people by that name include:
William Norcott (satirist) (1770–1820), Irish lawyer and satirist. Geoff Norcott (born 1976), English comedian. Amos Norcott (1777–1838), British soldier. Charles Norcott (1849-1931), British soldier. William Norcott (1804–1886), British soldier. Flemming L. Norcott Jr. (born 1943), American judge.