Flewett is an English surname. Notable people with the surname include:
Thomas Henry Flewett (1922–2006), British virologist and academic William Flewett (1861–1938), Anglican bishop in Ireland
See also Edward Flewett Darling (born 1933), Anglican bishop in Ireland Jill Freud, born June Beatrice Flewett (1927–2025), British actress and theatre director